# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 1,528 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 46,192 How to do integral for Cos(x^2)dx? Is there a chain rule for integral? Coz sometimes when I approach questions like... Dec9-12 11:44 AM sentinel 18 143,864 Once again I've faced a complete dead end in trying to solve the pi function so I thought I may share my work so if... Dec10-12 12:44 PM tanus5 3 1,278 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 1,673 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 1,194 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 2,355 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 1,269 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 7 947 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 1,144 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 3 876 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 1 684 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 2 837 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 4 877 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 1,193 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 3 851 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 1,102 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 1,359 I recently thought to myself about how a slight modification to the taylor series of e^x, which is, of course: ... Dec10-12 04:50 AM mdo 9 1,175 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 0 733 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 6 858 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 1,186 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 1,223 I am a woodworker, and am designing a two part magnetic/spring lock for my blanket chest. The first part has 3 master... Dec10-12 09:15 AM Vargo 3 768 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 0 733 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 0 766 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 2 615 Hi All, I have a problem involving some special functions (Meijer-G functions) that I'd like to approximate. At... Dec9-12 06:29 PM bpet 5 1,149 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 2 751 We all know about the famous equation: \int_{-\infty}^\infty e^{-x^2} dx=\sqrt{\pi}. How about... Dec10-12 12:36 AM JJacquelin 7 959 How do I evaluate the sum of this sigma notation problem? 20 ∑ k k=10 Normally, I would think to use the... Dec9-12 11:38 PM haruspex 2 1,077 Hi, I'm trying to work with the Biot-Savart law to look at the magnetic field strength along the center of an... Dec10-12 07:07 AM lavinia 3 1,141 Hi Guys, I remember back in the days of Calc I learning that there was an easy way to take multiple derivatives of... Dec10-12 07:00 AM jedishrfu 3 1,541 Just a few definitions I would like to verify so I'm not studying the wrong stuff. Interior Point : A point Q \in S... Dec10-12 10:45 AM Zondrina 2 586 given ∫(2-5) f(x)dx=5 and ∫(4-5) f(x)dx=∏ , find a) ∫(5-5) f(x)dx = b) ∫(5-4) f(x)dx = Dec10-12 11:57 AM jeckel7234 2 835