# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Views: 36 Announcement: PF Member Award voting is open! Dec12-13 Meta Thread / Thread Starter Last Post Replies Views Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 10:24 AM micromass 1 37,632 How to minimise this function and get initial conditions . I have the answer for initial conditions. ra = min(00237... Jun7-13 08:38 AM HallsofIvy 1 342 I'm only a first year calculus student so I don't feel too bad asking this probably really dumb question. I noticed... Jun7-13 03:00 AM Simon Bridge 8 589 Hello! What is the integration of the absolute value of e^ix? That is what is ∫|e^ix|^2 equal to? The whole... Jun4-13 06:08 PM micromass 3 452 So the problem is ∫(6x+5)/(2x+1)dx. I know the proper way to solve this is to long divide these two expressions and... Jun3-13 09:41 PM scurty 3 438 Quick question guys.. I understand how trig graphs work (cos, sin, tan etc.). What I don't understand is when there... Jun3-13 02:41 PM verty 2 438 Hello folks! Just a concise introduction of myself before I get to the task at hand: I'm new to these forums although... Jun3-13 07:04 AM Fredrik 4 457 I'm curious how do you choose the u and v transformations here to be equal to the constants and why is the f(u,v)=1... Jun1-13 01:00 AM mathnerd15 7 774 Hi guys, I think the question is clear (lol) How can the Sin(x)/(x) function be integrated? i heared it can be... May31-13 08:57 PM SteamKing 23 117,030 Let's say we have some time-independent scalar field \phi. Obviously... May31-13 08:24 PM HallsofIvy 4 554 Hello users!,, What do you think about taking calculus 2 on summer??? Im studying/teaching myself , and I want to... May31-13 08:10 PM Mark44 1 530 Hi! I was wondering: is it possible to have a non-orientable surface in 3D which is parametrized by u and v, with u... May31-13 04:28 PM nonequilibrium 4 486 In Rudin's Principles of Mathematical Analysis, Theorem 2.43 is that all nonempty perfect sets in R^k are uncountable.... May30-13 04:36 PM Bryan Urizar 15 2,399 Is it safe to say when an integral has an infinite boundary \int_n^∞ a_{n} and the limit yields a finite number, then... May30-13 07:19 AM HallsofIvy 3 623 How is \lim_{n\rightarrow ∞} \frac{1-r^{N+1}}{1-r} derived? Is it directly related to... May30-13 07:15 AM HallsofIvy 3 595 Hi context: The USD/CNH currency pair has been trending down at an almost linear rate past 3 years, it's safe to... May30-13 07:00 AM bozmonster 9 562 Notation A) S_{n}= \sum_{k=0}^{n - 1} ar^{k} = ar^{0} + ar^{1} + ar^{2} +...+ ar^{n-1} = \frac{a(1-r^{n})}{1-r} ... May30-13 04:42 AM AlexVGheo 1 430 For some reason I thought it would be easy to find but i'm trying to find a history of the integral. I'm not really... May30-13 01:37 AM kevinnn 4 492 Hello users!,, What do you think about taking calculus 2 on summer??? Any of you have taken that course in summer?... May29-13 08:04 PM Lebombo 3 614 Hello, I have been encountered an integral equation that I need to solve\evaluate numericly and I didn't find... May29-13 11:42 AM DEvens 5 513 All, I would like to compute the integral $$C \int_{-a}^{0} \sqrt {\frac{-2x}{a+x}}\mathrm{d}x$$. If anyone is... May29-13 10:02 AM muzialis 4 492 I'm working with the integral from 0 to infinity of t^(x-1)e^(-atcos(b))cos(atsin(b)) with respect to t.... May29-13 01:26 AM pwsnafu 2 409 Does the third derivative have any physical significance in relation to the original function? For instance, the... May28-13 10:12 PM cosmik debris 5 491 The problem is posted here: http://nrich.maths.org/5673 I tried subbing in values to get the biggest area:... May28-13 04:28 PM achiu17 3 472 I know that \oint_{C}\mathrm{d}\vec{l} = 0, for any closed curve C. But when i try to calculate the integral around... May28-13 12:40 PM JacobNielsen 2 560 Dear All, the antiderivative of $$\frac{1}{x}$$ is $$ln \vert x \vert$$. If I then consider the expression ... May28-13 12:10 PM pwsnafu 1 423 More specifically, For indefinite integrals. Ive looked online and cant find anything. Is there a method of finding... May28-13 11:00 AM pwsnafu 11 716 oops I meant "Rate of change of area of a square with respect to its side length" Ok I have to use this annoying... May27-13 09:31 PM Office_Shredder 1 521 Lim(x-->0) x/a can be written as x/a(b/x-{b/x}) how can we write this as lim(x-->0) (b/x -b/a({b/x}/{b/x}))? May27-13 03:59 PM mathman 3 437 Simpsons rule n=6, to approximate volume of solid obtained by rotating the region bounded by y=x^3,y=1,x=0 about line... May27-13 03:07 AM Simon Bridge 5 552 Hey, I was wondering if there is another way of expressing the derivative 2x(the derivative of the function x^2). I... May27-13 01:44 AM NascentOxygen 5 449 i have one expression, and then i will expand that expression into another expression like so... y=f(x) ------> ... May26-13 06:21 PM SteamKing 1 416 Hey, I was wondering if you guys could give me some input in how you view velocity and what it means to you guys. I... May26-13 05:51 PM Mandelbroth 6 363 Hey guys, I had a question about two functions and many more if you look at it right, that have the same derivative. I... May26-13 11:47 AM jasonlr82794 8 529 I'm trying to figure out the general solution to the integral ##\int \frac{d^ny}{dx^n} \, dy##, where n is a positive... May26-13 11:15 AM Mandelbroth 3 358 I am attempting to evaluate the residue of an integrand. The pdf files (residue1 and residue2) are attached. The... May26-13 12:41 AM saravanan13 0 290 Is there a general way of writing a complex valued function f(z)=u(x,y)+iv(x,y) in terms of z? For example,... May25-13 04:01 PM mfb 1 377 Hello All, I have what I think an easy summation, but I haven't worked with math for very long - I don't know the... May25-13 11:11 AM SteamKing 11 459 Find a function (or several or all) f(x) which satisfied all these three conditions: (1) lim f(x)/aˣ = 0 if a ≥ e... May25-13 07:44 AM dey 1 249 Hi, I'm working on an independent research project - and am trying to integrate this (with respect to x between some... May24-13 11:49 AM JJacquelin 3 454 Hey guys, what sup I need you all to help me in resolving the integral of an infinite product... i was thinking of... May23-13 05:24 PM ecpietscheck 4 878