parts Definition and 817 Threads

Does the integral of x(ln x)^4 = x^2/x(ln x)^4 - x^2(ln x)^3 + 3/2 x^2 (ln x)^2 - 3/2 x^2(ln x) + 3/2 x +C ? Or did I do something completely wrong? Sorry I didn't show my work, it would probably take me 30 mins to type it up here.

integration by parts?? just trying to figure out this integral int(x^2 (1+x^3)^4 dx) when i integrate by substitution i get anti deriv... 1/15 (1+x^3)^5 which is not the same (but close when u plug in values of x) to 1/15*x^15 +1/3*x^12 + 2/3*x^9 + 2/3*x^6 + 1/3*x^3 am i going about...

I've got a simple, at least it seems so; \int \sqrt{9-x^2}dx I MUST solve it "by parts" (withtout trigonometric substitutions), but I'm stuck. If i choose u = (9-x^2)^(1/2), du = -x/((9-x^2)^(1/2)), dv = dx, v = x. I then have; x\sqrt{9-x^2} + \int \frac{x^2dx}{\sqrt{9-x^2}}...

this no homework, but nevertheless can someone hint me how this integration by parts works? \int {d^4 } x\frac{{\partial L}}{{\partial \left( {\partial _\mu \phi } \right)}}\partial _\mu (\delta \phi ) = {\rm{ }} - \int {d^4 } x\partial _\mu \left( {\frac{{\partial L}}{{\partial (\partial...

We had a laboration where we did some temperature measurments on a flame and wrote a report on this. We got it back and were told to explain more deeply why we had a temperature maximum at a certain point. What happened was this. We started to meassure on the point located preciecly above the...

http://www.telegraph.co.uk/news/main.jhtml?xml=/news/2003/05/18/worg18.xml&sSheet=/portal/2003/05/18/ixporta Can you imagine this ? I was lost for words, the slave trade was bad enough, but this, if true, and these," things", are found guilty, they should not be allowed to live.

Hi there have i got this right if someone could check please? z=x+\imath{}y Find the real and imaginary parts z+(1/z) sub x+\imath{}y + \frac{1}{x+\imath{}y} if we multiply by x+\imath{}y and i get as the real part as x^2-y^2+1. Have i got this right? Thanks in advance

z=x+\imathy Find the real and imaginary parts z+(1/z)

Ok guys, this is my first post. Please go easy...:redface: This question is from Morris Kline's Calculus: An Intuitive and Physical Approach and unfortunately there aren't solutions for all questions (really annoying). I'm not even sure if this counts as a contradiction but anyway: Let...

Hi, I'm a bit confused as to what I should assign u and dv in this integration by parts: ln(1+x^2)dx I remember a general rule called the "LIPATE" rule... which is basically Logarithms, inverse trigs, poly, algebra, trig, then exponentials... Now... would I assign u = ln(1+x^2)? and...

I'm just a hobbyist in things quantum and in the course of my reading, I have found it a bit confusing figuring out which parts of quantum theory deal with finite numbers of discreet values and which parts require continuums. For example: Last night I was reading up on qbits and in the course...

Ok, the first question is this: It asks me to show that the following relation holds for a reversibe adiabatic expansion of an ideal gas: T/P ^(1 - (1/Gamma)) = constant Where Gamma = the ratio of: C_p/C_v the specific heats with constant pressure and volume, respectively. I...

Integration by parts... I just started Calc. II and though I struggle a bit, it's fascinating. I have been fooling with a problem lately...one of those standard problems that professors like to assign, and it usually appears in calculus texts: Have ya'll ever done integration by parts with...

Hello. I was reading a journal and an interesting problem came up. I believe the journal was in the American Mathematics Society publications. Well, here's the statement. "For all integers, n greater than or equal to 3, the number of compositions of n into relatively prime parts is a...

Show that x \frac{d(\delta (x))}{dx} = -\delta (x) where \delta (x) is a Dirac delta function. My work: Let f(x) be a arbitrary function. Using integration by parts: \int_{-\infty}^{+\infty}f(x)\left (x \frac{d(\delta (x))}{dx}\right)dx = xf(x)\delta (x)\vert _{-\infty}^{+\infty} -...

I'm having a problem with a Big-Oh problem, and I think it's more that I'm not understanding what the problem is asking and that I'm not completely understanding the definitions. There are two parts of the problem: Here is the problem verbatim...

My professor gave me the following formula for integration by parts in my multivariable calculus class. He said that we wouldn't find it in our book, and he didn't provide a proof. I have tried to work through it, but I am still left with one question: Why is it necessary that the curve is...

\int_0^\sqrt{6}}e^{-x^2}\frac{x^2}{2} should i use a u-substitution or integration by parts?

Has anyone here ever built a small Jet engine? Just generally interested in how you did it and from what parts thanks

A group of ten to twenty people are ship wrecked on a desert island, they have basic hand tools and food and water that will last for two days, no one knows they survived the ship wreck, so no chance of rescue. The island is big and wooded in parts, How do they survive?

It's not homework, but i think it can make someone think a little. \int\frac{dx}{x} Take it by parts. If you'll be as careless as me you can make a discovery :smile:

Integration by parts HELP ! Ok to be honest with all of you reading this post, i just don't understand how integration by parts work. Can someone please explain how it works? I have looked on the internet for help reading through all the notes but i still do not understand. So please somone...

I need to make a battery monitor with minimal parts. A green LED should be lit during normal operation. The device has two batteries (designed for 9V, but it could probably use others) in a split supply (-9, 0, +9). I need to monitor BOTH batteries, and have the green light go out and a...

Recently i got an offer from a company which asked for finite element analysis and design of ultrasonic welded plastic parts. I didn't know that but nevertheless i want to study that. Can anybody help?

Can anyone outline, and this is a rather large request, the step by step integration by parts for <C>? This is not a homework question but more something i need to be able to do on tuesday for my final, and have been trying to do for two days.

show that INT x sec^2x dx = pi/4 - ln2/2 (between pi/4 and 0) pls help i don't know where to start i know it is integration by parts - just don't know how i should rearrange it. thanks

hi guys just doing some revision and I am stuck on this question *integral sign* x^2 . exponential ^ -3x . dx I know i have to use integration by parts, but i just can't seem to get it out any ideas? thanx

If f(0)=g(0)=0, show that \int _0 ^a f(x) g ^{\prime \prime} (x) \: dx = f(a) g^{\prime} (a) - f^{\prime} (a) g (a) + \int _0 ^a f ^{\prime \prime} (x) g (x) \: dx I know I need to use integration by parts, but I'm having a hard time figuring out the right choice of u and dv. What I do...

I forgot a little detail in the integration by parts formula Is it \int u \,dv = uv + or - \int v \,du I don't remember if its plus or minus...

I used to be an avid reader on the subject, however with age I have lost some of the finer details. I was thinking back upon what I learned the other day and I was wondering if I had recalled correctly that a particles mass is less than the sum of its parts. Can anyone here tell me if this is...

Greetings all, here goes... The integral of (xe^(x))/((x+1)^(2)) Thanks

i'm trying to complete my notets from my calculus II class. my professor showed us how to do the following integral using integration by parts but I'm not following his reasoning could some one fill me in on what I'm missing. thanks in advance. \int^{\pi}_03x\sin\frac{x}{2}\\{dx} let \...

Does anyone know what tools are available to cut a metal like aluminium in very small parts and to join two parts together and still get a neat finish?

ok i`m really struggling with the concept. I've been asked to find the indefinite integral of; \int \frac{x^2}{(2+ x^3)} dx so before i beg for the answer could someone confirm that i`ve got the right rule to solve this; \int u(x) v'(x) = [ u(x) v(x)] - \int v(x) u'(x) if this...

I'm having a tough time trying to do integration by parts with one of my limits being infinity. My Integral looks like: \int_0^\infty x^z e^{-x} dx with z = \frac{-1}{\pi} Now if I let u = e^{-x} and dv = x^z dx, I will have: du = -e^{-x} dx and v = \frac{1}{z + 1} x^{z + 1} and...

I've got a function \int e^{-x}sinx dx From what I know, only functions which has one or more products with a finite number of successive differentials can be evaluated using integration by parts. Because for \int v du in our choice of du, we want to cut down on the number of times we have...

i have to integrate the next: (x^2)(e^x)dx/((x+2)^2) It should be done by parts. How I can simplify it? Is (4x+4) (e^x) dx/(x+2)^2 easier to be integrated?

I don't think anyone in class understands it, we went over it so quick. The only thing I seem to get is that uv - (integral) vdu = (integral) udv. You are supposed to assign u, v, dv and du, but how do you know which is u and which is v? What is the difference between du and dv? Are you...

Can an infinite universe with infinitesimal detail be nonrepeating?

I have never done this before, but what programs are available out there so that i can extract certain parts from a movie in .mpeg or .avi format? Like in soundforge i can open an audio file and extract any waveform and copy it to a new window and process it, can i do the same for a video...

I am usually alright once I figure out how to split up the integral into u: du: v: dv: so i can simply do uv-\int v*du but I keep messing up on there I will post some examples if I can find them and if someone could help me that would be great \int (ln(x))^2

I just can't seem to grasp this! I have no problems finding out if a function let's say x-2x^2 is an even or odd function, but when the function is defined differently along different part along the x-axis then I don't understand anything! This function: f(x)=\left\{\begin{array}{cc}0 &\mbox{...

Hi, I've actually got a problem here. How do I evaluate \int e^x^3 x^2 dx I have problem when doing integration by parts of finding \int v du since if I integrate v du, i'll get another expression which i have to integrate by parts again, and this goes on and on ! (its meant to...

If a line in a triangle is a median, does it cut the triangle into two congruent triangles?

i will use "\int" as integral signs, cause latex seems to be down. uv - \int v*du \int 8x^2cos(2x)*dx u = 8x^2 du = 16x*dx dx = 1/16 dv = cos(2x) v = 1/2sin(2x) plug in what i found for the formula 8x^2*1/2*sin(2x) - \int 1/2*sin(2x)*16x take out the 1/2, because it's a...

hey i was wondering if anybody could show me how to do a problem that contains multiple parts: 55. A 3.00 kg block starts from rest at the top of a 30.0° incline and accelerates uniformly down the incline, moving 2.00 m in 1.50 s. a. Find the magnitude of the acceleration of the...

Ok so I was attempting to solve an integration by parts problem and somewhere along the line I got stuck. Here's the problem: \int^{\infty}_{2} {x^2 e^{-x} - 2xe^{-x} After using integration by parts twice I came up with this: 2xe^{-x} - x^{2}e^{-x} + 2e^{-x} \vert^{\infty}_{2} But...

Do anybody know the radius of an electron, proton, or neutron? I understand there are smaller things like quarks, and everything, but as a general size, does anybody know the radius of these parts of an atom?

when doing integration, how do you know if you should use u-du substitution or integration by parts if the problem doesn't state it?

\int 4x cos(2x) using integration by parts... u=4x du= 4 dv=cos(2x) v=cos(x)sin(x) using the formula uv - \intv*du... 4x*cos(x)sin(x) - \intcos(x)sin(x)*4x hmm i can't seem to finish this problem, can someone help? and am i doing it correctly so far?