# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 2,119 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 46,226 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 5 353 Can anybody help in in finding the Fourier transform of f(x) = xe^-x where -1... Jun1-14 07:29 PM mill 10 321 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 8 474 I am quite confused between displacement and distance . Suppose a particle travels along a semi circular path or... Jun1-14 12:49 PM Matterwave 1 304 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 1 452 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 3 304 ∫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 9 561 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 3 358 \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 6 312 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 1 391 I would like to know whether there exists a solution to the following integral, \frac{1}{\pi}... May29-14 03:17 PM mathman 1 312 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 7 514 Please, hurry. It's driving me nuts May28-14 11:02 PM Nick O 2 394 in this video , the prof had to integrate x/(a^2+x^2)^3/2 , i know we usually do this using substitution , but in the... May28-14 06:07 AM HallsofIvy 9 394 So I was reviewing my random process notes. In it there is an integral that they have that I can't seem to get the... May27-14 01:33 PM quantumlight 2 397 This is not a homework question but something that has come up during work and I just need some guidance on what is... May27-14 09:42 AM pamparana 0 317 Hi guys, I am confused from what I know the max. value of directional derivative at a point is the length of the... May27-14 07:22 AM HallsofIvy 2 366 Hi, http://i.imgur.com/BhEN5Ms.jpg The two terms should vanish at infinity according to the Quantum textbook of... May26-14 01:58 PM DrClaude 7 489 I have a function: f(x) = Asin2(x) + Bcos2(x) + Csin(2x) and I want to find the minimum turning point(s). To... May26-14 03:17 AM pasmith 4 394 A point has no dimension and a line, which has dimension, is made from points together. How does something without... May25-14 06:28 AM Simon Bridge 3 303 Hi, I'm stumbled on the following integral, \int d\vec{q} e^{i\vec{q}\vec{r}} \cos(2\theta), where \theta... May24-14 11:49 PM amind 5 525 If the discrete summation is symbolized by ##\sum## and the continous by ##\int##, so, by analogoy, the discrete... May23-14 09:24 PM Simon Bridge 1 401 I've come across a question which as really stumped me because I thought I knew how to do this but apparently not. ... May23-14 09:11 PM Simon Bridge 1 347 Hi Ive got some calculations to do on amount of charge on a capacitor with respect to t. Formula for amount of... May23-14 03:03 PM Matterwave 3 356 Hi, My text book is giving me 3 rules that must be met to be continuous: I don't understand what my text book is... May22-14 12:09 PM gopher_p 4 425 hey pf! suppose i have a function ##f( x , y)##. i make a change of variables such that ##z(x,y)## in such a way... May21-14 05:36 PM joshmccraney 3 442 I would like to know how do we solve d2x/dt2 = k' where k' is a constant i.e the task is to find x as a function of... May20-14 04:45 PM sudhirking 4 568 I'm quite interested in the history behind vector analysis especially Curl and Divergence and gradient operators etc.... May20-14 03:58 PM D H 6 586 I have a polar arc length problem that comes down to integrating √(sinθ + 1). Through double u-sub and trig sub I got... May19-14 11:07 PM Pranav-Arora 3 516 I usually see that Laplace transform is used a lot in circuit analysis. I am wondering why can we know for sure that... May19-14 12:28 PM SteamKing 8 451 Is this possible.. Say, a∫b f(x)dx = G(x)|x=b - G(x)|x=a = S, where S, a and b are known. Can we find G(x) ? May19-14 12:13 PM SteamKing 3 736 Am trying to get a solution to the definite integral below. Looking for some direction. I = 0∫1 xf(x)dx where ... May19-14 06:48 AM jam_27 9 773 When you have a fraction, how do you know when to use iteration by parts, or use substituion, pick a u, solve for a... May19-14 02:04 AM sudhirking 5 478 Given V=xf(u) and u = \frac{y}{x} How do you show that: x^2 \frac{\partial^2V}{\partial x^2} +... May18-14 03:17 PM Chestermiller 6 431 I've seen it written two different ways: \frac{\partial f}{\partial x} = \lim\limits_{h \rightarrow 0} \frac{f(x... May18-14 01:15 AM Simon Bridge 1 327 Hi, this is not a homework and my problem is much bigger for me to give full details here. I came across this... May17-14 04:42 AM matteo86bo 4 394 I guess I have several definitions of df flying at me, and I am having trouble getting a continuous definition. So in... May16-14 07:55 PM saminator910 3 664 For example the surface (x,y,x²+y²), can for example surfaces be considered as one abstract 'vector' in some abstract... May15-14 01:55 PM JanEnClaesen 2 335 Hi there! How can I prove that the space of matrices (2x2) nonzero determinant is dense in the space of matrices... May14-14 09:46 AM brunob 7 442