parts Definition and 817 Threads

Homework Statement \int x \frac {\partial f} {\partial x} dx where f=f(x,t) Homework Equations \int u \, dv = uv - \int v \, du The Attempt at a Solution u = x so du = dx and dv = \frac {\partial f} {\partial x} dx so v = \int \frac {\partial f} {\partial x}...

What have you built from junk/ stuff laying about your garage or whatever. My next project is to build one of them ( ionic wind) lifters from bits i can find or salvage.

Could replacing one or more parts of the cell, using artifical and or/biological material for the replacement(s) possibly make it so mutations did not cause aging in a way where the aging from the mutations is permanent except if/when organ replacements are done. Why/why not. if someone answers...

Homework Statement I(xsin^2x,x) (1/2)I(x(1-cos2x),x) (1/2)I(x,x)-(1/2)I(xcos2x,x) x^2/4-(1/2)I(xcos2x,x) u=x du=dx dv=cos2x v=sin2x/2 x^2/4-xsin2x/4+I(sin2x,x)/4 x^2/4-xsin2x/4-cos2x/8+C book is showing a diffrent solution from integrating by parts before power reduction can somone...

Suppose a physical quantity needs to be represented in pictorial form...for example distance. Such value represented should have 3 parts - 1)Orientation - Or the angle that it makes to the axes of the Cartesian coordinate system under which things are being observed. In the 2 images below...

Homework Statement Let F(x) and G(x) be the antiderivatives of f(x) and g(x) on [a,b]. using multiple integration, show that the integral from a to b of f(x)G(x)dx = F(b)G(b)-F(a)G(a) - the integral from a to b of g(y)F(y)dy To do so, consider the double integral of a suitable function...

Homework Statement Homework Statement The Attempt at a Solution u= cos(2x) = > du= -2 sin(2x) dv=cosx(2x) =>v= 1/2 sin(2x) ?

Homework Statement I have attempted and failed solving the following integration: Integrate : e^(-x) cos x dx Homework Equations I tried using the integration by parts rule: uv - (integral) v (du/dx) dx The Attempt at a Solution I let u = e^(-x) and dv/dx = cos x...

From what I think, any physical value has at most 3 parts - 1)Orientation - Or more explicitly, the angle that it makes with axis of the Cartesian coordinate system. Transforming will not change this value. 2) Position - This is the translational stuff...exactly from which point to which...

Homework Statement integral limit 1 to 5 integral of sqrt x * lnx dx a = 1 b= 5 Homework Equations The Attempt at a Solution 2 x (-1 + 2 Log[x]) ------------------ 8 11.99604193 but its not right

Because of circumstance (my desire to graduate in 5 years or less), I've been forced to attempt Calc 2 in 2 months time online over the summer. About 75% of it is going smoothly (compared with 105% or so of Calc 1). Homework Statement I'm to solve the indefinite integral: \int x *...

Hey all! I was recently refreshing my memory of integration by parts via some personal reading when I thought, there must be a better way. Integration by parts (while creative in that it integrates the entire product rule) feels very arbitrary to what it's attempting to calculate (at least...

Homework Statement [Intgrl]ln(x^(2)+4)dxHomework Equations [Intgrl]udv=uv-[Intgrl]vduThe Attempt at a Solution [Intgrl]ln(x^(2)+4)dx, u=ln(x^(2)+4), du=(2x/x^(2)+4), dv=dx, v=x xln(x^(2)+4)-[Intgrl](2x^(2)/(x^(2)+4))dx

Homework Statement I have to solve the following integral 1/(sqrt[x] * ln[x]) from 2 to infinity Homework Equations The Attempt at a Solution u= ln[x] dv=1/sqrt(x) du= 1/x v= 2 sqrt(x) If I do this I get lim (ln b/ sqrt[x] - 4 sqrt[x] -...

Okay, I am doing some revision questions for probability and this question has me stuck.. I've spent hours on this one problem and i can't get my head around it. I have the answers to it, but they don't show the working. So here goes.. Question: A supplier has shipped a lot of 6 parts to a...

Homework Statement Part a) The emission spectrum for Sodium lamp contains a reasonably bright red line in its spectrum. What is its origin? Part b) The possible transitions between electron energy levels for Sodium were analysed. There were no transitions between the s series (s subshell)...

Formula for integration by parts: \int f(x)dx = \int u dv = uv - \int v du Use integration by parts to find the following integrals: a) \int x e^{1-x} dx b) \int_1^4 \frac {ln \sqrt x} {\sqrt x} dx c) \int_{-2}^1 (2x+1)(x+3)^{3/2} dx d) \int x^3 \sqrt{3x^2+2} dx Answers in back of the...

Homework Statement \int x^5cos(x^3) dx Homework Equations \int uv' = uv - \int u'v The Attempt at a Solution \int x^5cos(x^3) dx \frac{(x^5)*(sin(x^3)}{(3x^2)} - \int\frac{5x^4*sin(x^3)}{(3x^2)} dx \frac{(x^3)*sin(x^3)}{3} - \int\frac{(5x^2)*sin(x^3)}{(3)} dx...

I have a couple questions about a certain problem on http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/intbypartssoldirectory/IntByPartsSol3.html#SOLUTION%2016 On number 18... 1) What is the logic behind separating x^7 into x^4 x^3 2) In the translation from dv to v, how did x^3...

Homework Statement In question 6, where does the -(0-0) part come from. The instructor did this for another question, question number 3 as well except in the other question the resulting value was a non-zero one and thus affected the answer.. any help appericiated...

Homework Statement ∫∫xy(x^2+y^2)^(1/2)dydx over the range 0 to 1 for both x and y. Homework Equations I believe that it requires integration by parts. Any help would be greatly appreciated.

Homework Statement The integral from 1 to infinity of (lnx)/(x) dx Homework Equations U substitution and integration by parts The Attempt at a Solution Cant decide what to use as my "u" . . can anyone help with this part ? -Jay J-

Homework Statement Integrate the following: (Ill use { as the integration sign) {x5(lnx)2 dx Homework Equations {u dv = uv - {v du I'm really new to integration by parts, and unfortunately I am having to learn it out of a book for now. I sort of get the idea, but this one just doesn't look...

I have tried pretty much every method I can think of to solve this integral but I haven't managed to get much luck. I used a derivative value (U) of x^3 and managed to get a x^5 term inside the next part and there is no easy way to get a derivative for the square root of 1-x^2. I tried...

I found this passage in a book: http://img8.imageshack.us/img8/1452/75717730.jpg where Φ(x) is the c.d.f. of the normal distribution. However, using integration by parts I also get this term which is not included in the passage: [ e^{itx} \phi(x) ]^{+ \infty}_{- \infty} where i is the...

When faced with an integral which contains the product of two functions, must you always default to integration by parts? Is there no alternative method? Perhaps, one intended for more complex functions? Thank you.

I am stuck with 2 questions. 1. http://132.239.150.164/math/img/math_967.5_fabcf8ac5b3f2459050993af33426844.png[/URL] 2. http://132.239.150.164/math/img/math_972_41ec111060693034ac0775fd52778392.png[/URL] Homework Equations...

Homework Statement Solve for indefinite integral of (7x^3)/sqr(4+x^2)(dx) Homework Equations I just can't seem to find the right solution. The Attempt at a Solution First of all, we can just factor the 7 out of the integral for now since it is only a constant. the inverse square...

Integration by parts and substitution help! Homework Statement ∫0 -1 e ^√x+1 Homework Equations The Attempt at a Solution

int sec x / tan^2 do i do this by parts?

i'm having troubles to integrate \int\frac{sin x}{x} dx could anyone help me with hints? i tried using integration by parts, but i see it as a never ending chain, sin will change to cos... and x^-1 will become -x^-2 and so on

Homework Statement Let In=the integral from 0 to pi/2 of sinnxdx show that (I2n+1)/(I2n)=(2n+1)/(2n+2) Homework Equations integral from 0 to pi/2 of sin2n=(2n-1)pi/4n The Attempt at a Solution I can't write down all that I've done because it's just too ridiculous. I've tried lots...

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...

Homework Statement I am actually looking for the expectation of x for the wavefunction that is \Psi (x) = \sqrt{\frac{2}{L}}Sin(\frac{\pi x}{L}) for 0 < x < L. To do this I need to find the solution to this integral: f = \int_0 ^L \! \Psi^* x \Psi \, dx = \int_0^L \...

"Creative" integration by parts Homework Statement Evaluate I=\int_{0}^{Inf}e^{-kw^{2}t}cos(wx)dw in the following way. Determine (partial derivative) dI/dx, then integrate by parts. Homework Equations \int udV = uv - \int vdU The Attempt at a Solution So I have to figure out...

Homework Statement I'm not attempting a specific problem, I'm just trying to find a correct way of doing the math behind simple harmonic motion ODEs... The example problem I've given myself (based on the books I'm using) is a dashpot with constant c, spring with constant k and a mass m...

Homework Statement int dx / (x (ln 3)^3) can someone tell me how to start this problem what's my u and dv ??

1. The problem is this: The antiderivative from 0 to 1 of (e^x)*sin(Nx)dx I tried integrating by parts several times and I'm just not sure if what I'm doing was correct. I keep hitting a dead end. I'm not sure if I'm supposed to IBP twice or substitute sin(Nx) for something else. Help...

Homework Statement \int(sin(x)^{-1}), dx Homework Equations *By Parts Formula: f(x)g(x) - \int(g(x) f'(x)) dx Also for d/dx sin(x)^{-1} I used 1/sqrt(1-x^{2}) The Attempt at a Solution Just started learning this method, I tried letting f(x) = sin(x)^{-1} and g(x) = dx but nothing really...

I am building a custom trailer, that will have "cages" ranging in size from 20" tall by 40" wide by 6' long to 39" tall, 40" wide, 8' long. And stacked up to 6 high and 2 wide. Now with my questions. I want to be able to open or unfold the cages kinda like a fishing tackle box out sideways of...

Hello everyone Let's say I want to do this integral: \int_{}^{}f(x)g(x)\,dx We use this formula \int f(x)g'(x)\, dx=f(x)g(x)-\int f'(x)g(x)\, dx I don't understand the utility of this equation, since we want to find \int_{}^{}f(x)g(x)\,dx and not \int f(x)g'(x)\, dx Please...

integration by parts! MIDTERM...really quick question...please help! Homework Statement \int arctan4t dt Homework Equations The Attempt at a Solution ive been attempting this all day. the answer is t arctan4t-1/8 ln(1+16t^2)+C i get this asnwer up until the 1/8... a...

integration by parts! MIDTERM...really quick question...please help! Homework Statement Evaluate the two following integrals: \int xcos5x dx and \int ln(2x+1) dx Homework Equations The Attempt at a Solution ok, for the first one, the answer is 1/5 x sin5x +...

Given random variables X and Y, which are not independent, is it always possible to find a random variable W which is independent from X, such that Y = f(X,W), for some function f? Example: let the joint distribution of X and Y be Y 0 1 X+------- 0|1/3 1/6 1|1/6 1/3 Then if we...

Homework Statement \int x*(ln(x))^4dx = 4ln|x|^3-12ln|x| Homework Equations The Attempt at a Solution I did chart method u...dv...+/- ------------------------ x...ln|x|^4...+ 1...(4ln|x|^3)/x.. - 0...12ln|x|...+ ......-

\intx*arctg(1/x)dx i have such problems integrating arc functions, don't know why, but they never turn out right,, by using \intudv=uv-\intvdu u=x du=dx dv=arctg(1/x) v=[1/(1+(1/x)2)]*ln|x| =[x2/1+x2]ln|x| \intx*arctg(1/x)dx=x*arctg(1/x)-\int(x3ln|x|)/(x2+1)dx now...

http://usera.ImageCave.com/kamranonline/369529f005b9d646328ba8de471139.gif Attempt to the solution. I took u=\sqrt{t} and from there i went upto : 2\intu^2Sin(u^{2})dx dunno wat to do next. Havn't been taught integration by parts yet.

how come some computer parts double they're power once in like 18 months or so? it's kind of weird...alwais +100% and in 18 months or so...for example take the RAM memory...they came like this(in MB): 8,16,32,64,128,256,512,1024,2048,4096,8192! I didn't cheked,but the 16 GB RAM stick might be...

Homework Statement integrate ln(x+1) dx (integrate by part) Homework Equations integrate e^-2x sin3x dx The Attempt at a Solution 1st,i make u=x+1 ,so du/dx =1 du=dx..while i use /dv =/ln(x+1) dx and after integrating my v=1/(x+1) so subtitute into uv -/vdu but my ans turn out to...

I asked this of my maths lecturer in uni. He took about ten seconds to mentally perform the calculation/integration. Can you beat his time? Q. A cyclist rides 100 miles from point A to point B at a constant velocity of 20mph. As he leaves point A, a bee on his handlebars flies ahead of him...