# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 2,479 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 46,268 How do I perform this integration: \int \left (\frac{dy}{dx}\right)^{2} dx Thanks! T 04:58 PM Cruikshank 12 964 For this function y=\sqrt{2ln(x)+1} if I use the chain rule properly, should I be getting this answer? ... T 12:52 PM Apogee 6 246 - - - So, a while back i read about this idea, but i cant find it anymore, so i was wondering if anybody else knows about... Y 11:47 PM Simon Bridge 1 140 Let a,b are constants. a=\int_{-∏}^∏ f(x)\,dx and b=\int_{-∏}^∏ {g(x)f(x)}\,dx, Then by integration... Y 03:55 PM mathman 5 232 Given: cos(x)\frac{1}{x} Find \frac{dy}{dx}: Now I know... \frac{dy}{dx} of cos(x) = -sin(x) and... Y 12:18 PM Shinaolord 10 143 Hey. I'm new to the forum and I was hoping you could help me solve this integral. I was searching for a clue on... Y 09:28 AM SteliosVas 7 315 Moved: This will get you!!! - - - - - - You know that the problem of calculus of variations is finding a y(x) for which \int_a^b L(x,y,y') dx is stationary.... Y 02:45 AM Shyan 9 271 Hi members, see attached Pdf file. For a<0,write b=-a and let x=bt.Then My question: how becomes the... Aug30-14 07:41 PM HallsofIvy 1 122 I was playing around with some simple differential equations earlier and I discovered something cool (at least for... Aug30-14 07:20 PM paradoxymoron 4 306 So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve,... Aug30-14 03:39 PM Siddartha 6 243 My textbook says the extreme value theorem is true for constants but I don't buy it. I mean I suppose that every... Aug29-14 12:22 AM Austin 9 226 Hi! I am taking a second look on fourier transforms. While I am specifically asking about the shape of the fourier... Aug28-14 03:27 PM mathman 2 145 Hi, I am struggling for some time to solve the following integral:  \int_{-n}^{N-n} \left(... Aug27-14 09:14 AM Greg Bernhardt 1 314 Can someone explain to me why in this equation (attached) where ρ(t)=\sumδ(t-ti) , dirac funtion. in the left... Aug26-14 10:03 PM Fredrik 3 226 First off: I think I understand the chain rule and how it derives from \lim_{h \to 0} \frac{ f(x+h)-f(x)}{h} ... Aug26-14 07:55 PM Fredrik 8 246 Hi The question is the following: is it possible for a (say) real function to be continuous at a certain point... Aug26-14 08:42 AM glance 4 202 Hi :) I'm doing my A-Levels and have a maths investigation project for which I decided to model the working of a... Aug25-14 07:58 PM Simon Bridge 10 500 Hi, Is the following integral well defined? If it is, then what does it evaluate to? \int_{-1}^{1} \delta(x)... Aug25-14 03:55 AM pwsnafu 10 316 I am looking at a solution to an question and I don't understand how the value of the following definite integral... Aug24-14 05:29 PM SteamKing 7 306 Hi. Is using the Levi-Civita symbol to calculate cross-product combos like A x (B x C) allot faster than just using... Aug24-14 10:50 AM Fredrik 2 211 I'm doing an undergraduate course in engineering 1st sem. I have physics which contains cumbersome amount of vector... Aug23-14 06:59 AM mal4mac 2 236 Firstly, the set E is defined: "Let E be the set of all positive real numbers t such that tn0 be fixed. We define a mapping \mathbb{Q}\to\mathbb{R},\quad q\mapsto a^q by setting... Aug19-14 06:20 PM jostpuur 2 236 Hey guys, Not claiming to be an expert on numerical methods here but I am doing some digital integration using... Aug19-14 01:46 PM HallsofIvy 1 225 I'm an undergrad who has just completed the standard calculus sequence (1, 2, and multivariable). I've done well in... Aug18-14 02:04 PM Matterwave 3 353 You can prove if f(x) is an odd function and f(x+ t) is an even function then f(x) is periodic with period at most 4t.... Aug17-14 02:10 AM dimitri151 2 280 I think this is a theorem, and I'm telling myself that I've proved it. Just a shout out for any possible... Aug16-14 11:39 PM WWGD 3 289 1. What if absolute convergence test gives the result of 'inconclusive' for a given power series? We need to... Aug16-14 03:26 PM mathman 5 411 Simply put, can you find the function which extremizes the integral J=\iint L\left(x,y,f(x),f(y),f'(x),f'(y)\right)... Aug16-14 03:36 AM julian 4 464 Can you suggest a general analytical solution to the following equation \ln(x^{3/2})-bx-c=0 where x is real... Aug15-14 02:54 PM Borek 6 359 Hello everyone, I brushing up on integration techniques and I came across this problem in a book. Does anyone here... Aug15-14 01:43 PM FeynmanIsCool 2 454 Could someone walk me through how to maximize this 2-variable function wrt z? ... Aug15-14 01:20 PM da_nang 3 392 Hi, Let y= |sin(x) + cos(x) + tan(x) + sec(x) + csc(x) + cot(x)| Find the minimum value of "y" for all real... Aug15-14 10:09 AM Amad27 27 874 Our integral \int\limits_0^{\pi/2} \sin^{2a+1}(x)\,dx Has a Factorial Form: {(2^a a!)}^2 \over (2a+1)! What... Aug13-14 07:46 PM musik132 3 297