# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 119,283 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 45,271 Hi, I have a book that makes the equality. \vec{B}dV = (\vec{e_1}B_1 + \vec{e_2}B_2 + \vec{e_1}B_2)dx_1 dx_2 dx_3... May5-14 01:03 PM AntiElephant 2 659 In the Euler-Lagrange equations y and y' are independent variables, while for a given curve y(x), they are related by... May5-14 12:05 PM JanEnClaesen 2 424 Consider the problem of solving overdetermined system Ax = b; In the problem I am trying to solve (from the... May5-14 10:34 AM Borek 5 519 Hi I am unable to find the proof of the Lagrange inversion formula as given in... May4-14 10:21 PM Greg Bernhardt 1 471 I'm having trouble calculating the dS vector. I know there are multiple ways to find dS but can anyone explain them to... May4-14 08:06 PM Matterwave 10 530 Hi, I am struggling with a problem, where in the middle of my calculations I need to determine a function... May4-14 05:04 PM HomogenousCow 4 571 I guess my first questions is whether saying that a function is differentiable is the same as saying that its... May4-14 04:28 PM micromass 25 1,043 So I'm just having a bad night about Lagrangian and Hamiltonian mechanics and I was deriving them all over again and... May4-14 06:45 AM HallsofIvy 1 443 A function ##f:\mathbb{R}^3_+\to## defined as ##f(\lambda,\beta,x)=1-e^{-\frac{\lambda}{\beta}\left(1-e^{-\beta... May3-14 10:20 AM mfb 5 504 I am doing some analysis and I have come up with the following integral: \int \frac{e^{-ax}}{1+be^{-cx}}dx where... May3-14 09:48 AM lurflurf 1 381 Hi all, I understand the numerical difference between a Taylor and Maclaurin Series; Maclaurin series is just... May3-14 06:53 AM HallsofIvy 2 531 Hi guys, I'm not sure where to put this question, so I'll just put it here. If a mod knows of a better place, just... May2-14 12:15 AM Matterwave 5 623 Hello all, I'm new to the forums (signed up to ask this question- this isn't a homework question). My friend gave me... May1-14 06:58 PM Chestermiller 6 581 Hi! I have a question about integrating a function with an infinite value. If you integrate a function with a place... May1-14 03:45 PM bmbuncher 5 461 I'm taking a Calc III Course and I want to know if anyone out there can help me with a few conceptual ideas. I know... Apr29-14 08:25 AM SteamKing 3 480 Is there a formula for this gaussian integral: $$int_{-\infty}^{\infty}{x^4}{e^{-a(x-b)^2}}dx$$ I've tried... Apr28-14 10:47 PM Matterwave 9 537 Let \normalsize S = \int ^{a}_{b} f dx be the functional i want to minimize. Why does \normalsize f (inside the... Apr28-14 05:08 PM devd 3 404 Hey pf!! I was thinking about how div(curl(f)) = 0 for any vector field f. However, is this true for div and curl... Apr28-14 02:20 PM pasmith 2 395 I'm trying to understand this integral. \int \frac {x^3 dx}{x^4 + 1}dx\\ One possible answer is this formula.... Apr28-14 11:05 AM micromass 5 448 I need to solve for the integral of f(x)=cos(x)/sqrt(1+x^2) Integral calculating computers online all say that this... Apr27-14 08:56 PM MarneMath 6 421 There is a large chunk of information necessary as a preface to my question, so bare with me for a paragraph or two. I... Apr27-14 07:47 AM AlephZero 6 499 I'm having a hard time seeing how spivak derived this formula... "6. The formula for 12+...+n2 may be derived as... Apr25-14 10:56 PM slider142 4 477 Integrals containing \frac{1}{\sqrt{x^2+a^2-2xa \cos{\theta}}} occure frequently in physics but I still have problem... Apr25-14 10:16 AM scurty 4 447 I don't quite understand the context of common tangent problems. This is one of the problems I am trying to solve:... Apr24-14 09:59 PM Simon Bridge 9 468 let D be simple connected Domain and C be simple close curve in D. then by cauchy integral theorm ∫(z) dz over C ... Apr24-14 05:17 PM homeomorphic 3 371 Hi! Consider the function \frac{d^n}{dx^n} \sum_{k=1}^m \sin{kx}, \quad 0 \leq x \leq \pi/2 . If n is odd... Apr23-14 11:16 PM Simon Bridge 1 416 Hello, This might seem like a very basic problem for the most of you but I am a little bit confused as to the... Apr23-14 10:37 AM Mr. Fest 6 437 So here's a little background for the question: I have an arc that covers 3/4s of a circle (so it's not quite a... Apr22-14 05:12 PM alpha754293 7 475 Hi, I need some clarification on exactly which critical points are saddle points. The definition I am finding... Apr22-14 02:01 PM D_Tr 2 394 Hello everyone, I have recently bumped into the Kramers Kronig Relations while reviewing some of my Eletromagnetism... Apr21-14 08:29 PM jbunniii 7 459 Say for some general function f(x), and g(x) = ∑x=0∞ f(x) (assuming function is defined) Is there a way to find the... Apr20-14 03:30 PM cmcraes 8 521 So I was doing my calc homework when I stumbled upon this thought: lets say you were trying to find the solid of... Apr20-14 02:11 PM SteamKing 1 475 Hi I am facing a mathematical problem in my research. I am not a maths magor and i need to do this to move on with my... Apr20-14 12:58 PM Aladdin123 22 848 I do not know how to formulate formulas on this forum so I just wrote it neatly on a piece of paper and linked it. ... Apr19-14 07:21 PM Mark44 1 352 How is this limit evaluated? \lim_{k->0}\frac{sin(\pi k)}{sin(\frac{\pi k}{N})} I know that it is N, but I... Apr19-14 01:54 AM JJacquelin 1 483 If exist a connection between the infinitesimal derivative and the discrete derivative $$d = \log(\Delta + 1)$$... Apr18-14 05:17 PM Jhenrique 6 382 Hey guys, just trying to understand how the quotient rule is derived, so I head over to wikipedia and saw this: ... Apr18-14 02:14 PM gomess 4 439 Hello, I have a real world application that I need some help with. I am sensitive to the fact that this is not the... Apr18-14 01:12 PM berkeman 2 512 Hello, Wolfram is giving me the required answer however, the steps it uses I find very confusing. Can anyone share... Apr18-14 09:53 AM Mark44 1 381 For my own use and consumption, I created a generalization of the nth integral of a function f and I'm posting it here... Apr18-14 03:03 AM pwsnafu 5 464