Integrate Definition and 642 Threads

Homework Statement Hi, i don't really know how I should go about this question. please help me. Question: Integrate the following equation: I = (integration sign from 0 to 2 sqrt3) (x^3)/(16-x^2)^(1/2) Homework Equations The Attempt at a Solution I tried to assign u and dv...

integratio 1/x2+a2.dx=1 intervel0 to +infinity find value of 'a'

Stuck at the end of a double integral, still have to integrate ln(4+y^2)dy Assuming I did the right first step. Original double integral is x/(x^2+y^2) Thanks!

integrate with a formula?? Homework Statement dy / (1+y^2) Homework Equations The Attempt at a Solution i tried using substitution technique but that did not yield the correct answer... u = 1 + y^2 du = 2ydy is there a formula i should be looking for maybe?? any help or...

Homework Statement Find the following intergral... Homework Equations \int{\frac{-1}{(x^2+1)^2}dx} The Attempt at a Solution I can't get anywhere with this... any hints?

Homework Statement \int {x}{e^{0.1x}} dx Homework Equations U-substitution, differentiating. The Attempt at a Solution We have \int {x}{e^{0.1x}} dx Let u = 0.1x therefore du = 0.1 dx ==> dx = 10du Substituting back into the equation and using the fact that x = 10u...

how to integrate? can anybody let me know how to integrate? and about integration factor?

Is it POSSIBLE to integrate C++ with WITec Project 1.88? urgent call for help~ haha hi everyone, currently i am doing a project in which i have to extract date MANUALLY from the solfware. It will be VERY tiring because the number of data I have to extract is more than 1000 times! Moreover, I...

Hi, There are different ways by which we can integrate function : 1. Substitution 2. Integration by parts 3. Trigonomtery 4. Partial functions But how one know that which method to use ? Please can anyone explain how to figure out the way of doing integration? I'll be really...

After reading http://en.wikipedia.org/wiki/Weierstrass_function it occurred to me that I could do the same thing to an integral: \int \sum_{i=0}^\infty \frac{sin(\frac{x}{3^i})}{2^i} dx = \sum_{i=0}^\infty \int \frac{sin(\frac{x}{3^i})}{2^i} dx = \sum_{i=0}^\infty...

Homework Statement Integrate [e^(-x)*sin(e^x)]dx ? This is part of the work. I was actually rying to find the general solution to the differential equation y"+3y'+2y=sin(e^x) using the variation of the parameter method. Homework Equations Particular solution Y = u1(x)y1(x) +...

I just need a check on when integrating sin(xy) with respect to x? Does this become -cos(xy) or -cos(x) thanks

integral of dx/x^(2)-6x +82 I know from completing the square you get the integral of dx/73 + (x-3)^(2). Then what?

Hi, I've been asked to use polar coordinates and to integrate \int\int_{A}^{} x^2 + y^2 + \sqrt{x^2 + y^2}dxdy over the area A enclosed by the curve x^2 + y^2 = 4 I know x=rcos(\theta) y=rsin(\theta) dxdy=rdrd\theta So i think the integral can be written as \int\int_{A}^{}...

Hi guys, i was doing some math qn and i found out that i am always integrating like x wrt x so u will get (x^2)/2 right? So i was wondering how do u like say integrate x wrt y?

How do I integrate this? It is not of any form with which I am familiar. \int_{-\infty}^{\infty}x^2e^{-b^2x^2}dx

\int_{0}^{2 \lambda} \cos({\frac{kx}{2}}) \cos({nx}) dx I can't find my calc2 notes and it's killing me! This thing came up half way through the computation of the Fourier series of f(x) = A\cos({\frac{\pi x}{\lambda}})..and i can't remember how to do it! I am very aware of the trig identity...

How do you integrate the following questions? 1) x/((3-x^4)^(1/2))*dx 2) (1+e^x)/(1-e^x)*dx 3) (xlnx)/((x^2-1)^(1/2))*dx thank you so much!

Could som1 please help me integrate arccos x by parts. I've done examples using integration by parts but they were all some form of multiplication, ie y = xe^x, y = x sin x etc. I'm really unsure where to start with this problem :confused:

It has been about 2 years since i last did calculus but I am trying to get back into it so I am ready for college / don't kill myself because of boredom I am having difficulty finding integrals of the form \int{\frac{x^2}{x+a}dx} This integral inparticular is: \int{{\frac{x^2}{2x+2}dx} I...

Hey. I've barely started learning about integration, but during an experiment we conducted for physics, the following came up: \int {F\sin ^2 At} dt How would i integrate that? I do understand that it would generally require that i show my working on the issue, but in this case, its a...

Please help me integrate the following: \int_0^x \frac{1}{\sqrt{(A+Bx^2+Cx^3+Dx^4)}} \,dx I have no idea where to start or if this is even possible.

help me integrate this please sqroot( kx + (1/4)(k^2) ) dx i wud like to know whether its solvable? and how to do it?

\int{ \frac{x^2}{\sqrt{4-x^2}} } How would I do that? I tried integrating by parts, letting u = x^2 and v' = 1/sqrt(4-x^2) and many other combinations, but I just can't seem to get the result.

On the interval from 0 to 1? Thanks

i can't find it anywhere. please help. i need to kno the inegration of lnx to find an area. please help thx

\int{\frac{x^3+x^2+x-1}{x^2+2x+2}dx} I divided the polynomails and got: \int{(x-1)dx}+\int{\frac{x+1}{x^2+2x+2}dx} This becomes: x^2-x+\int{\frac{x}{x^+2x+2}dx}+\arctan{(x+2)} If I've done this right, how do I integrate the third term? The arctan should have the (x+2) in brackets but I'm...

hey guys, the function is... (x dx) / (x^2 + 5x + 6) please integrate it. please. thanks so much, Matt

Hi Can anyone pls suggest the trick to do integration by parts such as: Intergration {(1/x) (e^-cx) }dx. Which function normally we should take as first and second function. Is there a rule to decide on it. Plz reply thanks

what is the integral of 13e^(-0.2x) sinx? i'm using the solving for the unknown integral method. i did this twice (each time i took the integral twice, moved the unknown integral to the same side, and divided by 13.52?? I still cannot figure out what i am doing wrong. solve for the...

I feel so :cry: doing this problem. PLEASE HELP! AND TEACH ME How TO DO IT. My question is this. use the substitution x=2tan(y) (37dx)/(x^2*sqrt(x^2+4)) give the answer in terms of y. I did the substition, but it looked more complicated. It doesn't look like a u*du thing, but it...

we are doing 'integration by parts' right now. but we never learned anything like this. (having a function inside a function). would u=lnx du=1/x .. v= ? dv = sin... ? please help.

Hi, I've been struggling with this problem for hours, so I was wondering if someone here could help me out, thanks: The problem is: How to integrate: (ln x)(to the power of 2) Thanks

Hello, I cannot figure out how to evaluate the following integral, \int {\frac{y}{{y + 1}}dy} If it was y^2+1 then I see how a u-substitution of u=y^2+1 would work. Thanks

I need to integrate this indefinite integral: 1/(x-6)^2 dx Here is my work... Let u= x-6 du/dx=1 so: integral 1/u^2 du = 3/u^3 + c (constant) =3/(x-6)^3 + c Have I gone wrong? And if so where? Thanks

may i know how to integrate [1 / (4 + x^2)^1/2] using trigo substitution?? pls help...

integre (1+x+x^2) / x(1+x^2) pls help... i used partial fraction and obtain the answer of ln x - 1/2 ln (1-x^2) + arctan x is it correct??

I haven't had any luck with mathcad and was wondering if this was possible to integrate... \int_{0}^{2\pi} \frac {x+r*cos(\theta)}{(x^2+2r*x*cos(\theta)+r^2)^\frac {3}{2}} d\theta

May i know how to integ 1/x^2 (1-x^2) ?? i try to form Ax/x^2 + Bx+C/(1-x^2) but can't get the answer... the answer is-1/x + 1/2 ln (1+x) - 1/2 ln (1-x).pls help...

how to integ 1/ x^2 (1-x) (1-x^2)?? the answer is -1/x + (1/2) ln (1+x) -(1/2) ln (1-x)

May i know how to integrate (sec x)^4 ?? the answer is tan x + 1/3 (tan x)^3

may i know how to integ (sin x^4) ?? the answer is 1/32(12x - 8sin 2x + sin4x)

Happy new year for you all, This is very nice place, So girls and boys, let me give you something to play with: Integrate (r^.a)(r^.b)(r^.c)(r^.d) d(cos8) from cos8=1 to cos8=-1. a,b,c and d are constant vectors, r^ is the unit vector (iX+jY+kZ)/|r|, 8 is the spherical angle between r^...

may i know how to integ [2x sin (x^2) dx]??the answer is -cos(x^2) thanx...

Integrate (x^2 / sinx) / (1 + x^6): How to do this? I just need some clues...

When you intergrate a Ln ax problem does is the answer always 1/x for example integrate ln 2x does it equal 1/x or ln 3x and so on For some reason when i work it out on paper or my calculator it comes out to 1/x and I just don't think its right. I think I am just being catious since...

using "primitives" to integrate moments of Inertia My classmates are lost and I just can't think the way my proffessor does when approaching these problems. He gave us about 50 shapes to find moments of inertia for this weekend and I'm not having any trouble doing them... my way. I can use a...

Ok so I have to find the arc length from t=1 to t=2. \begin{array}{l} L = \int_a^b {|r'(t)|dt} \\ |r'(t)| = \frac{{2(1 + 2t^4 )}}{{t^3 }} \\ \end{array} And I have completely forgotten how to integrate fractions... Oh wait... i THINK i know what to do. Should i set u=1+2t^4?

Is it possible to integrate \int {cos (x^2)} dx ? If so, which method do I have to use?

Hi. I want to integrate x/(x^2 + ax + a^2) I tried substitution with u=x^2 then du =2x but that didn't work out neither did the substitution x^2 + ax I thought of factorizing the denominator and using partial fractions, but I think that's not the way, can't figure out the factorization...