# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 5,501 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 46,592 I want compute the following integral: $$\\ \int f(x,y) \sqrt{dx^2+dy^2}$$ Is correct this pass-by-pass: \\... Jun15-14 02:25 PM DrewD 4 381 What is integral sin(x)/x from 0 to a where a is any finite, positive number? Jun14-14 08:22 AM January 2 510 Hello! I'm having some troubles with that integral: ## \int_0^{k} \frac{x^{\alpha}}{1 + \beta x} dx## I've... Jun13-14 08:37 PM Pranav-Arora 9 742 Hello, I've been reviewing some calculus material lately and I just have a couple questions: 1) I've seen... Jun11-14 05:45 PM micromass 3 550 Hi, I'm looking at a derivation of the thermodynamics of black-body radiation. My question is in regards to the... Jun11-14 11:48 AM Runei 1 382 Hi every one, Here is my question: In soil physics, knowing the relation between suction head, h, and the soil... Jun11-14 04:35 AM re444 5 577 I ask this because it seems that there is no distinction between 0 and an infinitesimal. Similarly, it also seems... Jun10-14 09:40 PM pwsnafu 2 382 Hi I'm trying to integrate the following q_m = -D A \frac{dc}{dx} where A = 4 \pi r^2 Yes, a sphere. My supplied... Jun9-14 07:23 AM jderulo 10 1,067 Hi guys, What is the best way to sketch 0 = x2 - 2x + 4y2 And 8 = x2 - 2x + 4y2 ? How do I sketch... Jun9-14 07:11 AM HallsofIvy 4 408 Hi everybody, I am looking for some help with a problem that has been nagging me for some time now. I'm going to... Jun9-14 04:36 AM FranzDiCoccio 8 549 Hello, For a practical I have to know the work done by drag force, but drag force which is bv2 is not constant over... Jun8-14 10:29 PM Simon Bridge 4 546 hi, I have difficulty in figuring out the following integral: I(l,m;z) = \int^1_0 dx~\frac{x^l}{z - x^m} , ... Jun8-14 09:40 AM Simon Bridge 4 436 http://www.askamathematician.com/2011/04/q-why-is-the-integralantiderivative-the-area-under-a-function/ this... Jun7-14 07:53 PM kidsasd987 1 411 What are some helpful strategies for drawing and conceptualizing space curves? I'm having trouble drawing them and I'm... Jun7-14 11:01 AM vanceEE 4 468 Hi there! I'm back again with functions over matrices. I have a function f : M_{n\times n} \to M_{n\times n} / f(X)... Jun7-14 10:57 AM micromass 3 438 I am posting this question, in order to make something clear, since i am confused by derivation of the exponential... Jun7-14 08:02 AM HallsofIvy 7 452 I' at a a very very very basic level of calculus and usually have to watch a video or read something basic just to... Jun7-14 07:48 AM HallsofIvy 3 368 I had a quick question about an expansion. Wolfram and maple have not been very useful in verifying the series. ... Jun6-14 02:51 PM Zondrina 2 405 I will give a small background and explain the variables and the system first. I have two images which are observed... Jun5-14 01:08 PM Stephen Tashi 9 551 This isn't really a homework question, more just something I noticed while evaluating an integral and was curious... Jun4-14 11:14 PM lurflurf 3 448 Fellow researchers out there, I am not a mathematician. However, I have come across in solving few cumbersome... Jun4-14 09:13 PM PrasadP 2 364 How do you graph f(x) = x - ] Jun4-14 09:07 AM Pranav-Arora 2 353 Hi all, Supposing that s' is the new position, s the old one, t the time started, t' the new time, Δt the time... Jun3-14 09:37 PM Shinaolord 12 683 dear all, lets consider a length L and divide it into N number of small segments uniformly. Then the length of every... Jun3-14 09:51 AM micromass 13 888 Equation 1 ##\frac {d\vec T} {ds}## 2. s=arc length=∫|v|dt 3. |v|=speed Jun2-14 11:01 PM saminator910 1 402 I am trying to compute the following integral: \int \exp^{w^T \Lambda w}\, d\theta where \Lambda is a constant wrt... Jun2-14 09:37 PM pamparana 15 546 It seems that the only applicable use I've seen is in finding intercepts on various axes. Are there any other... Jun2-14 05:13 PM Matterwave 5 372 Can anybody help in in finding the Fourier transform of f(x) = xe^-x where -1... Jun1-14 07:29 PM mill 10 339 I learned in my calc 1 class that to calculate the arc length of a curve, we are to compute the integral of the... Jun1-14 04:13 PM Frank89RM 8 505 I am quite confused between displacement and distance . Suppose a particle travels along a semi circular path or... Jun1-14 12:49 PM Matterwave 1 320 If the critical points corresponding to the global min/max of a function ##f:\mathbb{R}^2\rightarrow\mathbb{R}## lie... May31-14 08:06 AM HallsofIvy 1 463 If the tangent is horizontal, it is where the tangent is zero. In single var. calc. that would be at max. or min. for... May31-14 06:03 AM SteamKing 3 315 ∫sin(x^3) dx I have absolutely no clue on what to deal with the x^3 part. All I can think of is this: ∫sin(ax) dx... May30-14 11:39 PM athosanian 9 588 I know its easier to use the substitution method, by I'm trying to see how it'll work for integration by parts. I... May30-14 11:25 PM athosanian 3 380 \int_{0}^{a}\frac{x}{(x^2+z^2)^\frac{3}{2}}dx Hi all, I'm stuck on this one. Sure theres an easier way to do it.... May30-14 07:21 PM klawlor419 6 318 http://sumo.stanford.edu/pdfs/smt2013/calculus-problems.pdf NOTE: this is not homework problems. I am trying to... May29-14 04:55 PM micromass 1 402 I would like to know whether there exists a solution to the following integral, \frac{1}{\pi}... May29-14 03:17 PM mathman 1 317 So I am pretty bad at u substitution. I don't really get how to replace values with du or u. Can you please give... May29-14 06:51 AM HallsofIvy 7 547 Please, hurry. It's driving me nuts May28-14 11:02 PM Nick O 2 405