# What is Intergration: Definition and 65 Discussions

ESPN Integration is an agreement between ESPN and video game developer Electronic Arts to put various ESPN features in EA Sports games. The first game to feature ESPN Integration was the college baseball game MVP 06 NCAA Baseball. The features that have so far appeared include a streaming ticker at the bottom of the screen with real up to date sports scores, just as it appears on the ESPN channel. This ticker does not just crawl during menus and load screens but also in actual gameplay. Another feature is the ability to listen to sports updates from ESPN Radio, and a third feature is being able to read the top 40 sports stories from ESPN.com.
Much of this deal was done on the part of EA Sports to prevent ESPN from selling its brand name to another game manufacturer, like they did with SEGA. Their ESPN NFL 2K5 game featured total ESPN integration, complete with authentic music, graphics, rendered sets, pre-half-and post game commentary by Chris Berman, and Sunday Night Football telecast crew. That along with innovations in gameplay cut into EA Sports dominant Madden NFL franchise, leading EA to sign an exclusive deal with the NFL.

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1. ### Energy dissipated in a resistor

Homework Statement A resistor of resistance 10Kohms has voltage across it described by the function V(t) = 6sin(10t+pi/4)*exp(-2t) Volts Calculate the energy dissipated in the resistor between t=0 and t=0.5 Homework EquationsThe Attempt at a Solution I have done the definite integral and have...
2. ### Simpson's rule with changing volumes

Hi there, Homework Statement I am doing a simulation of a free-fall lifeboat trajectory into the ocean and there is a part where i need to get the volume of the lifeboat to obtain its buoyancy force. Buoyancy force is proportional to the immersed volume of the body and this volume can be...
3. ### Understanding Integration of 1/(x^2 + a^2) and the Role of the Tan Function

I cannot understand the intergration done here The part how 1/a came, what happened to the x and how did tan come into this
4. ### MHB Integration by Substitution: Solving Integrals with u-Substitution

$$\int\frac{3x-1}{\left(3{x}^{2}-2x+1\right)^4} dx$$ $$u=\left(3{x}^{2}-2x+1\right) du=6x-2\ dx=2\left(3x-1\right)dx$$ got this far but when I tried to complete the ans was wrong the correct ans is $\frac{-1}{6\left(3x^2-2x+1 \right)^3}+C$
5. ### Intergration by parts for sin(x)cos(x)

I know its easier to use the substitution method, by I'm trying to see how it'll work for integration by parts. I follow the LIATE method for integration by parts. Now if I take u=cos(x) and dv = sin(x), the answer changes. Can you please explain this to me? Which is the 'right'...
6. ### Having Trouble With an Intergration Problem

I am given that the equation of a curve is y = 9 / (2 - x). They then ask me to find the volume obtained by the region bounded by the curve, the coordinate axes and the line x = 1 when the region is rotated through 360° about the x-axis. My attempt: To calculate this I must use the format...
7. ### Inverse function of intergration

hi all, I have a TEC data and I got this TEC = \intNe ds How can I inverse this equation to get data for Ne. Thank you
8. ### Gauss Legendre numerical intergration

Gauss Legendre numerical intergration The attachment file contain solved example i don't know how he subsitute and why a2=2 done disappear in the answer please expalin in details
9. ### Finding Volume of Region Inside Sphere and Cylinder in Cylindrical Coordinates

Find the volume of the region inside both the sphere x^2+y^2+z^2= 4 and the cylinder (x-1)+y^2=1using cylindrical coordinates. I was thinking the inner limits would go from +(2-r) to - (2-r) the middle intervals would go from 0 to 1 and the outer limits 0 to 2pi is my approach correct
10. ### Numerical intergration of a set of measured data points

Hi, I have faced the following question. In our lab we perform different measurements on Transistors. We program a scope and that controls the tests. For one of our tests we would like to calculate the total charge Q. Mathematically this is given by Q=∫ dt i(t), where i(t) is given by i(t)...
11. ### Intergration my parts. Reduce.

Homework Statement S P^4 e^-P DP Homework Equations My parts. The Attempt at a Solution I know you can do u = P^4, and DV = e^-P Then, you get du = 4P^3 dx and V = -e^-P -P^4 e^P + S 4P^3 e^-p dx Now, I can just repeat that for the intergral until I get to were the P...
12. ### How to Set Lower Limit for Intergration on Vector Magnetic Potential Problem

Homework Statement My question is mainly on the set up of the limits of the integral. The original question is: Find vector magnetic potential A distance s from a infinite long straight wire carrying DC current I. The Attempt at a Solution Let wire on z-axis and \vec I =...
13. ### Intergration of higher powers of trigonometric functions

Hello, What's the easiest way to evaluate an integral like this? \int_{\frac{-\pi}{2}}^{0}\cos^{10}x dx The only method I can think of is to expand the \cos^{10} x using trigonometric identities, and getting \frac{1}{32}\left(1-\cos2x\right)^5. I tried subbing u=1-\cos2x but I doesn't seem to...
14. ### What is the solution to this basic integral using substitution?

Homework Statement Intergrate: \int\frac{3 dx}{\left(2-x\right)^{2}} By substituion. Homework Equations n/a The Attempt at a Solution Ok so first I take the integer out to get: 3\cdot\int\frac{dx}{\left(2-x\right)^{2}} Now I let u = 2 - x and du = dx to get...
15. ### Integral of x^3 e^(x^2)/(x^2+1)^2

how would i go about finding the definite integral of this (x^3*e^(x^2))/(x^2+1)^2
16. ### Explaining Basic Integration: dv/v, Natural Log of V2/V1

Hi could someone explain to me why, if I integrate dv/v between V2 and V1 the result is nastural log of V2/V1? Thanks

I have derived the following equation for the velocity of a collapsing shell of a collapsing star. \frac{dr}{dt}=-[GM(\frac{1}{2}-\frac{1}{R})]1/2 I now need to integrate this to find the free-fall time, and the hint is to manipulate the equation into a form where you can use a standard...
18. ### Distributions and Intergration by Parts

"Distributions" and Intergration by Parts Homework Statement Has it been proven that it is ok to use Integration by parts on "Distributions" like Dirac Delta functions inside an integration? Homework Equations Need to figure out how to write integral signs and Greek alphabet symbols...

Homework Statement \int^{4}_{2} \frac{dx}{x\left(lnx\right)^{2}} Homework Equations Let u=lnx du=\frac{1}{x}dx x=2 \rightarrow u=ln2 x=4 \rightarrow u=ln4 The Attempt at a Solution so with the u substitution we have: \int^{ln4}_{ln2} \frac{1}{u^{2}}du which goes to...
20. ### Rearrangement and intergration of algerba

Homework Statement dy/dx = xy/(x^{2}+3y^{2}) The Attempt at a Solution I just don't know where to start. Can someone please point me in the right direction?
21. ### What is the area of a slice of a disk with angle theta?

Homework Statement Draw a circle of radius R with the center at the origin. Get the function that represents the top half of the circle. Let d be between 0 and R. State the definite integral that gives this area. Let P be the point were x=d intersects the curve. Let theta be the angle...
22. ### Help With Intergration Dipole Homework Statement

Homework Statement We know the magnitude of the electric field at a location on the x-axis and at a location on the y axis, if we are far from the dipole. (a) Find \DeltaV= V_p - V_a along a line perpendicular to the axis of a dipole. Do it two ways: from superposition of V due to the two...
23. ### Basic intergration problem still stuck help.

The integral is t(4+9t)^(1/2) dt I have tried u-sub and integration by parts but i can't figure it out. u=4+9t du=9 Does not help because i still have that t to deal with. I have spent more time then i want to admit trying to figure it out, and there are plenty more in the hw...
24. ### Intergration of imcomplete gamma distribution

Homework Statement How can i determine the integration of incomplete gamma function. I mean how to determine int_0^1 gammainc(3/4,r). where gammainc(a,x)=int_0^x t^(a-1)e^(-t) dt Homework Equations The Attempt at a Solution
25. ### Integrating sqrt(x2+9) - Help Appreciated

Homework Statement hey guys i was wondering if anyone could show my how to intergrate sqrt(x2+9). any help would be greatfully appreciated. the sqaure root is over everything:rolleyes: P.s i have looked at table of intergral but can't see one that looks similar. Homework Equations...
26. ### Really hard intergration problem\ take a look

Really hard intergration problem\! take a look A 20-lb. monkey is attached to a 50-ft. chain that weighs 0.5 lb. per (linear) foot. The other end of the chain is attached to the 40-ft.-high ceiling of the monkey's cage. Find the amount of work the monkey does in climbing up her chain to...
27. ### Calculating Work for a Monkey Climbing a Chain

Hard intergration problem! 1. A 20-lb. monkey is attached to a 50-ft. chain that weighs 0.5 lb. per (linear) foot. The other end of the chain is attached to the 40-ft.-high ceiling of the monkey's cage. Find the amount of work the monkey does in climbing up her chain to the ceiling...
28. ### Solving Plane Intg. Homework w/ Var. Change

Homework Statement Determine \int \int_D (x^2+y^2)dA, where D is the area in the first quadrant of the xy-plane restricted by y=0, y=x, xy=1 and x^2-y^2=1, using variable change. Homework Equations Here's a picture of the situation: http://www.aijaa.com/img/b/00050/3858610.jpg The Attempt...
29. ### Integration by Parts: Solving x^2(cosx)dx with Step-by-Step Guide

Homework Statement solve by using intergration by parts x^2(cosx)dx Homework Equations My question is i got this answer but my computer algebra system gave me this answer (x^2-2)sin(x)+2xcos(x) can you tell me where i went wrong?? The Attempt at a Solution u=X^2 dv=cosx du=dx...
30. ### Integrating Problem: Definite Integral from sqrt2 to 2

Homework Statement i'm taking a defitinite integral from sqrt2 to 2 of the function 1/x^3*sqrt(x^2-1)dx. Homework Equations The Attempt at a Solution I separated it into 1/x^3 and 1/sqrt(x^2-1). I have the second part using trig sub. as being sec theta dtheta, before integrating...
31. ### Integrating Definite Integral: sqrt2 to 2 1/x^3*sqrt(x^2-1)dx

Homework Statement i'm taking a defitinite integral from sqrt2 to 2 of the function 1/x^3*sqrt(x^2-1)dx. Homework Equations The Attempt at a Solution I separated it into 1/x^3 and 1/sqrt(x^2-1). I have the second part using trig sub. as being sec theta dtheta, before integrating...
32. ### Integrating Intergration Problem: 1/x^3*sqrt(x^2-1)dx

Homework Statement i'm taking a defitinite integral from sqrt2 to 2 of the function 1/x^3*sqrt(x^2-1)dx. Homework Equations The Attempt at a Solution I separated it into 1/x^3 and 1/sqrt(x^2-1). I have the second part using trig sub. as being inverse sec(x/1) dx. I believe i did...
33. ### Solving Tricky Integration Problems: Tips and Examples for Success

I have three questions, I don't need a full working through, but I'd prefer some hints or a simmilar example for where I am going wrong/need help. The answers arn't important, but the method of working them out is. ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Homework...
34. ### Integrating Sin Sqrt(x^2 + pi^2) - Help!

Homework Equations i have to find the intergral of sin squroot((x^2)+(pi^2)) The Attempt at a Solution im stuch on what i am suposed to do, i have -cos for the intergration of sin but I am confused what i do with squroot and its content.
35. ### A seperation of variables intergration

Homework Statement \frac{dV}{dt} = 20 - kV By solving this show that V = A + Be^{-kt} Homework Equations Well I am guessing there is a ln coming into play somewhere during the intergration if the diff the bottom = the top then you get a ln(bottom) The Attempt at a Solution...
36. ### Intergration to find work is from 0 to Y

I have a question. If i have an object let say a circular cylinder buried underneath the Earth surface with X as its depth. I'm looking for the total work to plumb the oil or water that is in the cylinder to the surface if the cylinder stand virtically and has water or oil in it(Y as its...
37. ### U ^ 5/2 /5/2 - u^ 1/2/3/2 +c intergration

\int\sqrt{1+x} dx = \int (u-1)\sqrt{u} du were does the 3/2 and the 1/2 come from in u ^ 5/2 /5/2 - u^ 1/2/3/2 +c
38. ### How to solve a challenging integration problem?

I am stuck on an intergration and can't get a simple answer which i should get p = (2*m*l^2)^(1/2)*(E+m*g*l*cos theta)^(1/2) using small angle (need for question) cos theta = 1 - (theta^2 )/2 Then I intergrate from 0 to 2*Pi and get some very large eqn using a maths program, I can't...
39. ### Intergration of Rational Functions (Multiple Qs)

Evaluate the Integral: \int \frac {2x+1}{(x^{2}+9)^{2}} My attempt: \frac {2x+1}{(x^{2}+9)^{2}} = \frac {Ax+B}{x^{2}+9} + \frac {Cx+D}{(x^{2} + 9)^{2}} = (Ax+B)(x^{2} + 9)^{2} + (Cx+D)(x^{2} + 9) = Ax^{5} + Bx^{4} Dx^{3} + (18A + E)x^{2} + (81A+9D+18B)x + 9E + 81B I'm not sure what...
40. ### Parametric Intergration question

Homework Statement a curve has parametric equations: x = t - 2sin t y = 1 - 2cos t R is enclosed by the curve and the x axis. Show that the area of R is given by the integral: \int^{\frac{5\pi}{3}}_{\frac{\pi}{3}} (1-2\cos t)^{2} Homework Equations The Attempt at a...
41. ### Simplifying Integration by Substitution

Homework Statement Using the substitution u² = 2x - 1, or otherwise, find the exact value of \int^{5}_{1} \frac{3x}{\sqrt{2x-1}}dx The Attempt at a Solution Right let's rearrange u in terms of x (i think that's how you say it): x = \frac{u^{2} - 1}{2}And now get an expression for dx u =...
42. ### Definite intergration area under curve bounded with line

Homework Statement A cruve has the equation y = x{3} - 8x^{2} + 20x . The curve has stationary points A and B. There is a line through B parallel to y-axis and meets the x-axis at the point N. The region R is bounded by the curve , the x-axis and the line from A to N. Find the exact area under...
43. ### MATLAB Symbolic intergration in Matlab using INT command?

Symbolic intergration in Matlab using "INT" command? Hello, I am a bit confused a to when should we use the Symbolic intergration using "INT" command in Matlab ? Thanks
44. ### Intergration by Parts (IbP) problem

\int_{1} ^{2e} x^2(ln x)^{2} dx I need to solve this using IbP. I made the following: u = (ln x)^2 du = (\frac{2 ln x}{x}) dx dv = x^2 dx v = \frac{x^3}{3} So I get: (ln x)^2 (\frac{x^3}{3}) \|_{1} ^{2e}- \int_{1} ^{2e} (\frac{x^3}{3}) 2 ln x dx (not sure how to make...
45. ### SOme help with intergration by parts,

SOme help with intergration by parts, please [b]1. Find: \int e^x cos (x) dx The Attempt at a Solution I tried using integration by parts - what we are working on... all these 3 possibilities: u = cos x, u= e^x, u = e^x cos(x) And the \int vdu are, respectively: 1. \int e^x sin(x) dx...
46. ### Intergration using logarithms

Evaluate the integral. \int3/(3x-2) dx from 0 to -1 (top to bottom). I change the equation to [tex(1/x - 3/2) dx[/tex] then integrated ln x-3/2x, but ln x at 0 is undefined. The textbook shows it as becoming ln (3x-2), but I'm not completely understanding how to get to that.
47. ### Important intergration substitution

int^{0}_{t}[cos(sqrt{x}]dx can anyone tell me the solution to this question !
48. ### How do I integrate these two functions?

Hello, I'm having difficulty intergrating the following two functions: 1) (6x-x^2)^(-1/2) I'm fairly sure that you need to intergrate by parts for this function, but I can't figure out how to do it 2) e/(e^(2x)-1) This one I thought could do with inverse trig functions but I'm...
49. ### Solve Ellipsoid Problem: Integrate cos(theta)*sqrt[cos^2(theta) - (x^2/a^2)]

Homework Statement someone asked the ellipsiod problem before and i didnt under stand anythign in the repsonces >< but i had already gotten this far that my equation (simplified) is cos(theta)*sqrt[cos^2(theta) - (x^2)/(a^2)] i need to integrate this equation with respect to d(theta)...
50. ### Proving the Volume of a Sphere using Multiple Intergration

Homework Statement Using the thechnique of multiple intergration prove that the volume of a sphere is 4/3 Pi r^3. Homework Equations The Attempt at a Solution Equation for sphere is x^2 + y^2 + z^2 = r^2 Do I solve it using for example z = root(r^2 - x^2 - y^2) Or is it...