# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 2,495 Announcement: Follow us on social media and spread the word about PF! Jan16-12 Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 09:24 AM micromass 1 46,270 I understand that if you have a system that is linear and time invariant, that you can perform a Fourier transform on... Nov21-12 07:34 PM thegreenlaser 10 2,941 Hello, This limit \lim_{x \to 0} \frac{ \sin x}{x} is often cited as being an example where L'Hopital's rule... Dec9-12 10:56 AM lavinia 8 1,684 Hi Guys~ I was wondering if anyone had any suggestions for applications of the Kelvin-Stokes Theorem. Recall that... Nov21-12 10:18 PM lugita15 1 1,085 How we get relation \lim_{t\to 0}f(t)=\lim_{p\to \infty}pF(p)? Where ##\mathcal{L}\{f\}=F##. Nov23-12 02:05 AM matematikuvol 4 1,067 I don't have a ton of experience in numerical methods, so I'm hoping someone can help me out. Suppose I have a... Nov25-12 08:21 PM Stephen Tashi 6 1,199 \Gamma(n) = int(0 to infinity)dx Show that it can also be written as: \Gamma(n) = 2int(0 to infinity)dx I... Nov21-12 05:18 PM Zatman 2 786 Suppose I have a function of x and t such that f(x,t) \leq x^{1/2} \sqrt{1+t^2}. How should I express this... Nov22-12 04:41 PM mfb 1 769 Hi, I have a question concerning solid of revolution. The bowl-shaped volume formed by rotating the area... Nov24-12 08:05 AM peripatein 4 684 Hi I often see the following in books but I do not understand how they are equal. So can someone please tell me for... Nov23-12 01:00 PM skiller 7 1,449 Could someone please explain how the formula at the bottom of the page is derived i.e. how is the Taylor theorem used... Nov24-12 07:48 AM arildno 9 1,364 My textbook states J_v(x) J'_{-v}(x) - J'_v(x) J_{-v}(x) = -\frac{2 \sin v \pi}{\pi x} My textbook derives... Dec3-12 08:47 PM mjordan2nd 4 2,365 It's not hard to show that the function: g = \frac{1}{2} (c \times r) is a "vector potential" function for the... Nov24-12 01:12 PM thegreenlaser 3 909 Are these assertions true? I am referring to polynomials with real coefficients. 1. There exists of polynomial of... Nov25-12 09:34 AM Robert1986 6 1,319 http://imgur.com/SnHyP What are the mathematical steps and assumptions to reach the conclusion that length(ab) ≈ dx... Nov24-12 10:43 PM arildno 1 753 Reading through Spivak's Calculus on Manifolds and some basic books in Analysis I notice that the divergence theorem... Nov28-12 09:54 PM mathwonk 5 1,271 Hello: I have been trying to solve the following equation on MathCad or Excel, however its been quite a struggle :(... Nov26-12 06:53 AM paula1980 7 949 So I've been practicing several series that can be solved using the alternating series test, but I've came to a... Nov30-12 07:19 AM HallsofIvy 4 1,150 In many of my physics classes we have been using Taylor Expansions, and sometimes I get a bit confused. For example,... Nov28-12 10:44 PM lurflurf 3 878 After doing my homework on testing for convergence/divergence in infinite series, I noticed that if you are testing... Dec1-12 10:22 AM Klungo 4 858 Is there any way to solve Fredholm integral equation without using Fourier transform.... Nov30-12 03:40 PM mathman 1 688 Hi y'all. Here is exactly what is stated on the theory page of my book: Example: Area of a Region The area of a... Dec3-12 09:01 PM Kushwoho44 2 841 I'm having a conceptual problem with integrating a function and thought someone might enlighten me. Say you have a... Dec2-12 03:23 AM DiracPool 5 888 hello, Please see attached excerpt of a solution to a problem. I do not understand why the result obtained is to... Dec3-12 01:18 PM zn5252 4 829 I've been working my way through Intro to Electrodynamics (Griffiths), and in Chapter 3, one of the derivations comes... Dec2-12 06:18 PM Gibby_Canes 4 879 i facing a maths problem in integrating ∫ cos^2(∏/2cosθ) with limit from 0 to ∏/2,i was panic and struggled a long... Dec3-12 04:32 PM Mute 8 1,204 Hello there, I have the function $$f(t) = \int_0 ^{t} \frac{1}{\sqrt{t-\tau}} \mathrm{d}\tau$$ The integral... Dec4-12 01:53 PM lavinia 3 852 As the title obviously states, how can I evaluate this integral by hand ? I know the result of it, I need to learn how... Dec6-12 02:13 PM swle 8 1,106 If i have a point at (0,0,5) in x,y,z system, then i make 2 rotation on the point with center at origin. i)the first... Dec7-12 01:37 AM hei 6 1,364 Is it possible to do integrals like this with eulers formula \int e^{-x^2}cos(-x^2) and this integral is over... Dec5-12 07:42 AM lurflurf 1 477 guys, we know ∇q=qi,j and ∇ ∇.q=qi,ij but what will happen if we have qi,jqm,mj ? (sum on j) I know... Dec5-12 03:18 PM Romik 0 737 hi, Reading a book on thermodynamics and the guy often uses something like this : ∫1/T dQ = ΔS and then he... Dec7-12 05:37 PM tiny-tim 7 870 When I attempt to use the method of integration by parts on the below integral, I don't get anywhere since I only... Dec6-12 07:10 PM Mark44 6 861 Today we learnt tabular integration as a shortcut method for integration by parts. Is there a proof that legitimizes... Dec6-12 06:04 PM Vorde 1 1,192 I have a question to ask, is dx = δx, can they cancel each other like \frac{dx}{δx}=1 and is it mean that: ... Dec7-12 04:29 PM destroyer130 5 1,230 I was trying to do 2d Fourier transform of 1/k^2 in 2d. I know that answer is log r. I am not able to derive it. ... Dec6-12 11:22 PM navaneethjnc 0 737 I have got this integration: \int_{-1}^{1}\frac{x^n}{(1+w^2-P^2-2wx+p^2x^2)^2}dx And at the same time, I can provide... Dec7-12 01:28 AM Wu Xiaobin 0 529 Recently I have been working on classical Gaussian electrical field and I come through this joint moments... Dec7-12 01:58 AM Wu Xiaobin 0 770 I need to take the integral of the following function over one cycle. y(t) = sin(wt)cos(wt-p) p is a phase... Dec7-12 03:11 PM mathman 1 650 Why Poisson kernel is significant in mathematics? Poisson kernel is ##P_r(\theta)=\frac{1-r^2}{1-2rcos\theta+r^2}##.... Dec7-12 12:44 PM matematikuvol 2 619 I've been wanting to learn physics for a while, and bought an intro book and read through it. Now I want to move onto... Dec8-12 03:39 PM Thetes 2 753