parts Definition and 817 Threads

Homework Statement I can find on Wikipedia the "formula" for integration by parts for the case where there is a multi-variable integrand, but I would like to know what substitutions to make in order to show my steps. Homework Equations For multiple variables we have...

Integration by Parts HELP! Hey, I am working on some calculus and I am having some trouble with the last few integration by parts problems. I got the first couple, and i grasp the concept of integration by parts but for some reason I just can't figure these 3. Any help would be greatly...

Integration by parts HELP! Hey, I am working on some calculus and I am having some trouble with the last few integration by parts problems. I got the first couple, and i grasp the concept of integration by parts but for some reason I just can't figure these 3. Any help would be greatly...

Ok. I have a definite integral of e^sqroot(x) dx from x=0 to x=1. I would use u=sqroot(x) and du=1/2*sqroot(x), but I'm confused what I would set v=?

Does anyone know of any good sources for mechanical parts that already on the market? In my "Garage Tinkering" hobby, as much as possible, I like to use parts and materials that are already available on the market instead of having to manufacture them.

[SOLVED] integration by parts question Homework Statement This is part of a larger problem but I'm just not sure if I have the right answer. edit: this is integral of ln(x-7)dx i just can't seem to figure out how to make it in latex Homework Equations The Attempt at a Solution...

Homework Statement Got an exam later today on this, just looking for some practice. I know this is kinda reverse of what the forum is intended for, but I'd like to ask for people to post some problems that I can solve via Integration by Parts. Just like 5 or so. Homework Equations...

[SOLVED] integration by parts question Homework Statement I think my first problem is at integration by parts, but let me know if you see a different error in my work. Edit: I shoud mention that this is Calculus 2 and we just learned first order differential equations today. So I don't...

I was sick and missed class:rolleyes: ∫ sin^2x dx = x/2 – sin2x/4 + C (I see that there is a trig identity in the answer as sin2x = 2sinxcosx) What I tried (copying the example in the book) u = sinx du = sinxcosx dx (why is du not cosx?) v = -cos x dv = sinx dx (why is this...

Homework Statement Hi, I have a test coming up soon so I was doing some questions from the textbook when I stumbled upon this one and I'm stuck after like 5 tries. Here is the question: \intcos^2(x)dx Solve. Homework Equations the question then states we should solve using this...

\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...

i have solved a full question (except the last part which i tried to come up with some formula but that didnt work out) i showed every step of the way unfortunetly i don't have the answers to this question so can you tell me if i solved wrong some subquestion and how to solve the 5th it a...

the answer to \int\frac{1}{x}(dx) is lnx +c. but if you do it with integration by parts, you end up with \int\frac{1}{x}(dx) = 1 + \int\frac{1}{x}(dx) which comes to 0=1. why does this happen?

Homework Statement Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 155 m ahead traveling at 5.30 m/s. Sue applies her brakes but can accelerate only at -2.00 m/s2 because the road is wet. Will there be a collision? yes If yes, determine...

Homework Statement x^2+4x-2=A(x+2)(x-2)+Bx(x-2)+Cx(x+2) How to find A, B and C? Homework Equations Answer is A=1/2, B=-3/4, C=5/4. The Attempt at a Solution A+B+C=1 A(2-2)+B(0-2)+C(0+2)=4 A*2*(-2)+B*0*(-2)+C*0*2=-2 A+B+C=1 0A-2B+2C=4 -4A+0B+0C=-2 C=2+B A=1/2...

The teacher kinda skipped over this and expects us to know how to do it. Being I can't understand what he is saying, I'm kinda lost, so I missed how to do the whole u, du thing. Homework Statement Solve \int{ 8x^{3}\ln\!\left(x\right) \, dx} using Integration by Parts. Homework...

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...

Homework Statement Known Constants A, B and C Unknown (we are solving for) t e is the exponential as in ln(e) = 1 Homework Equations e^{t*A} + t*B + C = 0 (we want to solve for t) The Attempt at a Solution This is not for school or anything. This is actually part of an...

Homework Statement Integrate x^2 e^x^3 dx Homework Equations I = uv - integral of u'v The Attempt at a Solution I don't know where to begin this question at all and have been stuck on it for the past half hour. Any help would be really appreciated. :(

Homework Statement I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you. \int_0^x2cte^{-ct^2}dt where c is a postive constant Homework Equations The Attempt at a Solution Let u=t and let dv=2ce^{-ct^2}dt

Homework Statement \int e^{2x}sin(e^x)dx Homework Equations Can I make the substitution: w = e^x ; dw = e^x dx Making a "new / simpler" problem: \int w sin(w) The Attempt at a Solution Using integration by parts on the "new" problem: u = w ; dw = du dv =...

[SOLVED] Integration by parts Homework Statement I've been staring at this for 30 minutes and can't figure out what's wrong. I end up with 1/xi instead of xi. The book says, \int_{-\infty}^{+\infty}te^{-t^2/2}\sin(\xi t)dt=\int_{-\infty}^{+\infty}e^{-t^2/2}\xi \cos(\xi t)dt The...

little help? simple question... Homework Statement Integrate: xlnx dx use integration by parts Homework Equations The Attempt at a Solution let u = x du = dx dv = ln x v = ??

how would one integrate by parts the following: \int sin^2xdx thanks!

Be used to prove that a constant coefficiant can be taken out the integral? such as 2x just being 2 multiplied by the integral of x? \int{2x} = 2\int{x} Also, what is the integral of 0? Is it 0 or "c"? I'm mainly asking because I recently got dropped with a Fourier series homework and its...

Homework Statement Find the complete response of the system represented by y''(t)+2y'(t)+y(t)=u(t), y(0^-)=1, y'(0^-)=2 and identify the zro-state and zero-input response components. Find the system transfer function and the system impulse response. Homework Equations...

Homework Statement I'm studying from Zee's QFT in a nutshell. On page 21, I don't understand how he uses integration by parts to get from Eq (14) to Eq (15), ie from Z = \int D \varphi e^{i \int d^4 x \{ \frac{1}{2}[(\partial \varphi)^2 - m^2 \varphi^2] + J\varphi \}} to Z = \int D \varphi...

I am either making the same mistake repeatedly, or I can't factor! I did this \int\ln(2x-3)dx first by parts and then using the formula \int\ln u du=u\ln u-u+C By parts I got: u=\ln(2x-3) dv=dx so =x\ln(2x-3)-\int\frac{2x}{2x-3}dx and by long division: =x\ln(2x-3)\int...

Is this the correct way to use the Tabular Method for \int x^2e^{-5x}dx repeated diff: x^2 2x 2 repeated Integration: e^{-5x} -\frac{1}{5}e^{-5x} \frac{1}{25}e^{-5x}...

[SOLVED] Integration by parts help. Homework Statement I'm working on ym Math assignment, and we are currently doing Integration by parts. I haven't had too much trouble except with the last 3. Ill only post the first of those 3 for now. I need to find \intarctan(1/x)dx Homework...

Homework Statement integrate: (x^3) e^(3x^2) dx Homework Equations uv- integral vdu The Attempt at a Solution i've tried this many times on paper and can't get the right answer. I'm starting to get really frustrated. Please help...

Everything started from a very far-fetched line from a game, that got me into researching some interesting stuff. And eventually I arrived at this age-old question. I mean can this even be true? And I'm not talking about some trivial stuff, but rather on a more fundamental and universal level...

So I have an equilateral triangle an I want to divide it in 4 parts, all having the same area. This can be done in a multitude of ways of course. But assuming it's a garden and the division is about putting up a fence, which division uses the least fencing? Now I have two alternatives so...

How would you go about doing this: \int64x^2cos(4x)dx The question specifically asks to integrate it by parts, so I integrated it that way a couple of times and came out with some long mess of sines and cosines, but it's not the right answer. Thanks.

Homework Statement Can anybody help me integrate x^3 e^{x^2} The Attempt at a Solution I can't see how to do it by substitution or integration by parts.

(2x+7)squareroot(7-x)dx from x=6 to x=7 i've been trying to solve this integral with the integration by parts formula but it won't work. would appreciate some help. would like to see the whole solution and not just the answer. (the answer should bee in fractions)

Homework Statement Just a snipit of one of my homework problems. I'm trying to find out what \Psi \frac{\partial \Psi^{*}}{\partial x} equals to help me find out what the probability current for a given free particle is. Homework Equations \Psi = Ae^{i(kx-\frac{\hbar k^{2}t}{2m})}...

Hi. When evaluating an integral such as: \int {x^4 e^x dx} Is integrating by parts 4 times the best method, or is there a more efficient way? Thanks in advance, Dan.

[SOLVED] Integration By Parts and Substitution Short background; Took Calc 1 my senior year in high school. Got As all 4 quarters and found it quite easy. Freshman year comes around and I sign up for Calc 2. Turns out the only teacher teaching Calculus 2 for my fall and spring semester is a...

\int\sec^{5}{x}dx i need a hint on this problem, my teacher told us that we prob. can't solve it with the method we've just learned. I'm not sure where to look in the book, I've looked through it but i don't know what is the best method. hint? pleasezz and i'll post all my work :D i...

Picture. I don't know where I've gone wrong :-[ Any advice on how to tackle Integration by Parts? What should I subst. with what? Thanks! http://img528.imageshack.us/img528/9348/ibpkz5.jpg

Are the force around the poles compressed, so it makes the poles of the magnet stronger than the other parts? Thanks.

Homework Statement The problem asks me to: Determine a reduction formula for the stated integral (See Picture and problem at: http://garciarussellchem.angelfire.com/Photo/ Please help me out with this problem. I don't understand why they do not include an extra r in the denominator...

Homework Statement Hi, I'm trying to solve http://img204.imageshack.us/img204/7199/untitledke0.png in terms of I(n-2) but I'm not exactly sure where to start/what to do :rolleyes:

Is it possible to intergrate e^x (cosx) i wondered because i tried to intergrate it by parts, but ended up going round in circles. I wondered because i had this question and I am stuck on how to do it :) http://img505.imageshack.us/img505/320/frfbc8.png

Homework Statement As picture attached .We need to find the dimensions of all the parts that are Pin(A),Jaw(B and C), NUt (D) , Handle (E) .The jaw B is fixed and C is free to move towards B.There is a force T=1779.261 N on Jaw C.Secondly there is a human force involved in turning the handle...

integration problem :( Homework Statement int from 1 to 1/4 of [cos(pi*sqrt(t))] / sqrt(t) dt Homework Equations The Attempt at a Solution I tried using integration by parts used u = cos pi (sqrt(t)) and dv = sqrt(t), but got a really messy number as int of vdu so I tried u =...

intergrate (ln(x))^2 so i set u=(lnx)^2...which makes du=2lnx(1/x) then i set dv=dx...which makes v=x according to the formula for integration by parts i have x(lnx)^2- integral x(2lnx)(1/x) simplifying it i get x(ln)^2-2intergral lnx and here is where i am stuck...what i the...

I've been looking at the parts of a photon as it moves at the speed of light and how this affects the photon it's self. I have encountered a few things such as the need for the photon to start spinning as it moves through gravitational fields ECT. But I have recently found 2 things that are very...

Homework Statement Hi, I'm trying to evaluate the integration of (e^x)cos3x dx, by using integration by parts. I've already done a couple of similar questions on integration by parts but this one seems to puzzle me. Homework Equations The answer is supposed to be (e^x/10)*(cos3x +...