parts Definition and 817 Threads

hello, i'm a self learner currently learning Fourier series. Anyway, I'm having some problem with a question regarding the inner product of two complex functions. This is defined by an integral from negative infi to positive infi of the multiplication of one function and the complex...

Homework Statement How can i find the integral of \int e^{-x^{3}}dx Homework Equations The Attempt at a Solution I tried using integration by parts, but it doesn't seem to give a nice way to solve either.

Homework Statement Integrate the following equation for average energy from -infinity to infinity \int(c*x^4)*(e^(-c*x^4)/KT)dx Homework Equations c, K, T are constants \int(e^(-c*x^4/KT)) = (KT/c)^(1/4)*(2\Gamma(5/4)) The Attempt at a Solution I tried using integration by parts...

Homework Statement Show using integration by parts that: \int x^3 e^x^2 dx = e^x^2 ( \frac{ x^2 -1}{ 2 }) Homework Equations The Attempt at a Solution Integration by parts obviously. \int u dv = uv - \int v du Let u = x^3 and dv = e^x^2 dx \int x^3 e^x^2...

For any given curve,we can find out the area bounded by the curve. Using 'Simpson's 1/3 rule' I found out the area of the curve. Now how to divide the area into 'n' equal parts, so that total Area=sum of n areas. Thanks.:approve:

having difficulty integrating the following equation by parts to determine if its symmetric: d4 u / dx4 + K d2 u / dx2 + 6 = 0 0< x < 1 Can someone help with this?

I found this interesting little problem when thinking about convolution: \int x( \tau) \delta(t-\tau) d\tau Normally to solve something like this you would have to integrate by parts because of two functions in \tau Using the fact that: \int u *dv = u*v - \int v*du Where...

Hi guys! Today I remembered that I used to have a fantastic image (like a flow chart) about different parts of mathematics and how they are connected. In the final stage (at the top), they were connected to QFT and GR. It's down->top, at the lower end were basic mathematics (sets, boolian...

Dear All, I have received 2D drawings of Tube Fitting Parts. I need to create the model and assign the properties. I like to know how to assign the end styles for different Tubing Parts and how to define the connector (tubing) points. Any help is highly appreciated. Thanks in...

Homework Statement 1/(u²(a+bu)²) a and b are constants u is the variable Homework Equations The Attempt at a Solution i know I am suppose to use substition by parts but i don't know what to use. thanks for help in advance

Homework Statement \int_0^1 (6t^2 (1+9t^2)^{1/2} dt) Homework Equations \int u dv = u v - \int v du The Attempt at a Solution \int_0^1 (6t^2 (1+9t^2)^{1/2} dt) =6 * \int (t^2 (1+9t^2)^{1/2} dt) = 6 * \int (t * t (1+9t^2)^{1/2} dt) Let u = t ; let dv = t (1+9t^2)^{1/2}...

Homework Statement The block shown in Fig. 4-48 lies on a smooth plane tilted at an angle θ = 24.5° to the horizontal. Ignore friction. http://www.webassign.net/giancoli5/4_48.gif (visit this site for picture) (a) Determine the acceleration of the block as it slides down the plane...

Homework Statement INTEGRAL 1/ (X-1)(X+2) DX Homework Equations I LET U = X+2 DU=X The Attempt at a Solution I GOT LN/(X+2)/+C I JUST DONT KNOW IF IM DOING IT RIGHT

Integrating Natural Log Function using "Integration by Parts" Method Homework Statement The problem says to integrate ln(2x+1)dx Homework Equations I used u=ln(2x+1); du = 2dx/(2x+1); dv=dx; v=x The Attempt at a Solution So, I integrated it using that (above) 'dictionary' and I...

Homework Statement Estimate \int_{0}^{10} f(x) g'(x) dx for f(x) = x^{2} and g has the values in the following table. \begin{array}{l | c|c|c|c|c|c |} \hline \hline g&0&2&4&6&8&10\\ \hline g(x)&2.3&3.1&4.1&5.5&5.9&6.1\\ \hline \end{array}...

At one instant a bicyclist is 27.0 m due east of a park's flagpole, going due south with a speed of 14.0 m/s. Then 31.0 s later, the cyclist is 27.0 m due north of the flagpole, going due east with a speed of 14.0 m/s. For the cyclist in this 31.0 s interval, what are the (a) magnitude and (b)...

Hello, The problem I'm working on is X225x. I know you have u = x2 and du = 2x however if dv= 25x then what is v? I know if dv were say e2x than v would be 1/2e2x but for this problem would v simply be 1/5*25x? Thank you

Homework Statement Integrate \int{\frac{lnx}{x^4}dx} Homework Equations The Attempt at a Solution I get this: u = ln x, du = \frac{1}{x} dv=x^4, v=\frac{x^5}{5}dx \frac{(lnx)x^5}{5}-\int{\frac{x^5}{5}*\frac{1}{x}dx} = \frac{(lnx)x^5}{5}-\frac{6x^6}{5}dx} Am I doing this right?

Homework Statement \int {\frac{{\cos ydy}} {{\sin ^2 y + \sin y - 6}} } The Attempt at a Solution \int {\frac{{\cos ydy}} {{\sin ^2 y + \sin y - 6}} = } \int {\frac{{\cos ydy}} {{(\sin y - 2)(\sin y + 3)}}} Now I attempt to split this into partial fractions: \begin{gathered}...

b_{n} = \frac{1}{\pi}\int^{\pi}_{-\pi}sin\theta sin n\theta d \theta let u = sin \theta, \ du = cos \theta d \theta dv = sin n \theta d \theta, \ v = -\frac{1}{n}cosn \theta = \left[-\frac{1}{n} sin \theta cos n \theta \right|^{\pi}_{-\pi} + \frac{1}{n} \int^{\pi}_{-\pi} cos...

I'm reading Weinberg's volume I. I don't quite understand what's the origin of the non-covariant parts of the propagator. The propagator can be calculated to be \Delta_{\ell m}(2\pi)^{-4}\int d^4q\frac{P_{\ell m}(q)\,e^{iq\cdot(x-y)}}{q^2+m^2-i\epsilon}\quad\cdots(*) where P_{\ell...

Integrate the function. (3x)/(3x-2) I am spose to use integration by parts but i don't know how to integrate 1/(3x-2). anybody help??

I was going to read the whole thing but it was a long article http://en.wikisource.org/wiki/Industrial_Society_and_Its_Future#The_.27bad.27_parts_of_technology_cannot_be_separated_from_the_.27good.27_parts Do you think much of what he said was true?

HI I am to buy project parts. while searching online, i found this website and has a good variety of projects. In fact, I need your advice about such a website http://www.electronics-diy.com specifically about the BA1404 and TDA7000 ICs. please guide me and light the topic.

Can anyone explain to me why the 3-rep of SU(3) gives 3\otimes 3 = \overline{3}\oplus 6 whereas for the 5 of SU(5) 5\otimes 5 = 10\oplus 15? I thought the general pattern was N \otimes N = \overline{\frac{1}{2}N(N-1)}\oplus \frac{1}{2}N(N+1) but this second example seems to...

Homework Statement \intln(7x+9)dx Homework Equations derivative of ln is 1/x The Attempt at a Solution Well I am just learning IBP so i set u=7x+9 dv=lndx but I am stuck there. How do you know which to make ur u is there a way or is it trial and error Can i split the integral as: ∫ln(7x)+∫9

Homework Statement ∫e^x+e^x Homework Equations ∫u dv= uv- ∫v du The Attempt at a Solution u= x+e^x du= e^x so it would be e^u integral = e^u = e^(e^x) +c is that correct, i know the answer is but what i just did

Homework Statement ∫x sin^2 x dx Homework Equations integration by parts ∫u dv= uv-∫ v du The Attempt at a Solution u=x dv=1-cos2x v= 1/2 sin 2x du=dx is that correct i substituted sin^2 x= 1-cos2x Am I allowed to do that.

Hi all, I'm working on an ODE and ran into this integration by parts. My calculus is terrible. Can someone help? e^{2t}x = \int e^{2t}cos(t) \ dt = \frac{1}{2}cos(t) \ e^{2t} + \frac{1}{2}\int e^{2t}sin(t)\ dt = \frac{1}{2}cos(t)\ e^{2t} + \frac{1}{2}\left(-e^{2t}cos(t) + 2\int cos(t)\...

Homework Statement ∫ (theta)^3 *cos(theta)^2 Homework Equations integration by parts ∫u dv= uv- ∫v du The Attempt at a Solution u=theta^3 dv=cos(theta)^2 du=3theta^2 v=sin(theta)^2 here's the problem do i use cos(theta)^2 equal...

Homework Statement ∫ln (2x+1) dx Homework Equations ∫u dv=uv- ∫ v du integration by parts The Attempt at a Solution u= ln (2x+1) dv=dx du=? v=x ok did i choose the right u and how do i derive it, do i have to use the chain rule π²³ ∞ 0° ~ µ ∑ Ω √ ∫ ≤ ≥ ± # … θ φ...

Homework Statement \text {Evaluate } \int^m_1 x^{3}ln{x}\,dx Homework Equations The Attempt at a Solution Integrating by parts, but not sure which term to substitute out...it's not turning out clean...argh I've done every other problem except for this one, can someone just...

Homework Statement #1. Use Integration by parts to evaluate the integral \int 2x \ln(2x) dx #2. Use Integration by parts to evaluate the integral \int (\ln(3x))^{2} dx #3. Use Integration by parts to evaluate the integral \int x e^{4x} dx #4. Evaluate the indefinite integral. \int \sin(3x)...

http://img103.imageshack.us/img103/637/trigrb3.th.jpg I was having trouble with parts iii and iv. I have done i and ii. Please can someone help me with iii and iv. I do not really know where to start for iii and hence iv. I was thinking about the double angle formula for tan, but didnt...

There's an article in the May 12 2008 New Yorker Magazine by Malcolm Gladwell, in which he talks about brainstorming sessions by teams of inventors headed by Nathan Myhrvold. One of the ideas is a small Nuclear Reactor with no moving parts. Supposedly the core would be about 3x10 meters...

Hi, I am trying to integrate (x^5)/7680 . exp (-x/2) dx between 0 and 1. I've had various attempts at this and this is what i have done so far... Taken the 1/7680 outside the integration Using integation by parts I have assigned u=x^5 and dv/dx = exp(-x/2). when i integrate exp(-x/2) i...

i need help taking this integral \int 9sin\sqrt{t+1} help please! i don't even know where to start :[

I actually have two here, so I will just list both: Homework Statement \int\frac{x}{x^{2}+4x+4}dx Homework Equations None The Attempt at a Solution I tried this one twice. I honestly have no idea how to do it, and I used integration by parts. The first time, I reduced it down...

Homework Statement Use integration by parts to find: y=... if dy=arcsinh(x) dx Homework Equations int(v.du)=uv-int(u.dv) The Attempt at a Solution I understand how to perform integration by parts. My problem here is, what are my 'v' and 'du'?

antiderivative of arctan and x function (by parts... maybe??!) find antiderivative of 2xarctan(8x) { = antiderivative s thing. I did it by parts at first and got x^2arctan(8x) - 8 * { (x^2)/(1+64x^2) To get the antiderivative of the second part i did it by parts again and that...

Hi Can anyone help me with this integration. I will use I to symbol the integer sign Limits between 1 and 0 Ie^-x.Sinxdx I understand I have to integrate by parts and get the following answer, ignoring the limits for the time being. Ie^-x.Sinx = e^-x.Cosx I -Cosx.e^-x dx then i...

Use integration by parts to express: I (n) = ∫(sin)^n (x) dx in terms of I (n-2) Let u = sinn-1 x du = (n-1)sinn-2 x cos x dx v = - cos x dv = sinx dx so integration by parts give: ∫〖sin〗^n x dx= -cos⁡〖x 〖sin〗^(n-1) x+(n-1) ∫〖sin〗^(n-2) 〗 x cos^2⁡〖x dx〗 Since cos2x = 1 –...

I need to integrate 2\int_0^1cosh(\pi x)cosnx Not asking anyone to do it for me, just what method to use? Thanks alot.

Hello, This is not a question regarding a homework problem, but a step in class the professor did not show how to calculate. Homework Statement I am taking a course on Viscous Flow, and for Rayleigh flow after applying the similiarity solution : \eta=(y/(2*\sqrt{\gamma*t})) The...

[SOLVED] Integration by parts 1. Evaluate \int e^{x}sinxdx [Hint: Integrate by parts twice.] I can't seem to get an answer, but by integrating, the process is redundant (repeats itself). Thanks Work: \int e^{x}sinxdx Let u = sin x, therefore du = cosxdx Let dv = e^{x}dx...

Homework Statement \int xe^{2x^2} cos(3x^2) dx This is the hardest integral I've attempted so far. I've come up with an answer that fits a table in my book but I'm not sure if I arrived there correctly. Thanks for reading! Homework Equations \int e^{au} cos\ bu\ du\ =...

Homework Statement Find the real & imaginary parts of log(1+i)log(i) ? Homework Equations The Attempt at a Solution

I need SERIOUS HELP...integration by parts! Homework Statement Integrate: x^3*e^x Homework Equations The Attempt at a Solution I have the answer in my book but I am not understanding why you have to repeat the integration 3 times... 1.) dv = e^x dx v = e^x u = x^3 du =...

Hi guys, just wondering whether you could help. I've got a complex number in terms of a lot of variables, and need to separate it into its real and imaginary parts. How do I do that? I spent past hour trying to look for tutorials, unfortunately none tells you how to do it...

Homework Statement In preparation for an exam next week, I'm solving some of the end-of-chapter questions. There are 30 questions. I've solved a few on my own, but here's one I'm getting stuck on. Question 2) \int x5^x dx, problem here is I don't know how to deal with 5^x. The correct...