# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 82,927 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 44,227 I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached... T 06:30 AM vanhees71 8 201 So I'm struggling if I should interpret the integral as a sum of infinitesimally small quantities or as just the... T 01:36 AM JTT10 12 718 consider this IVP y'=r-ky , y(0)=y0 y= (y0)e^(-kt) + (r/k)(1-e^(-kt)) if y,y0,r,t are provided, we should be able... Y 11:35 PM Greg Bernhardt 1 1,074 17.3-(17.3)e^(-92.34940680845194549420x)^y)=17.30181504460159157646-((17.3-(17.3)e^((-0.00118329948908244714x)^y)) ... Y 01:01 PM Ledsnyder 2 103 Is a function with a removable discontinuity considered continuous? I've looked through about 6 calculus texts and... Jul22-14 04:25 PM WWGD 11 620 Hello everyone. Last week I had an exam in advanced calculus. One of the questions asked about the continuity of a... Jul20-14 03:59 AM verty 3 336 Hello, Can someone show me how the inverse Phasor transform of the sum of individual Phasors of sinusoidal... Jul19-14 11:11 PM olivermsun 8 686 Hi Guys, I am revising for an exam i have this week, the last module on my subject was calculus. I did not... Jul19-14 11:01 PM TitoSmooth 7 677 Can anyone explain this to me? What does if mean that the area may sometimes be negative but that the area must be... Jul19-14 10:48 PM TitoSmooth 7 831 I think I may have found an error in the text I'm reading. Here's a quote: ... + \int_0^{\infty}x^rf_1(x)sin(2\pi... Jul19-14 12:59 PM Mogarrr 20 1,743 Hello, We know that surface integrals come to the form of a surface integral of a scalar function over a surface... Jul19-14 08:48 AM Hertz 5 571 Hello Forum, I am familiar with the arithmetic sequence (the difference between one entry and the previous one is... Jul17-14 04:26 PM NathanaelNolk 4 434 To find E |X| of a cauchy random variable, I need to integrate \int_{-\infty}^{\infty}\frac1{\pi}\frac{|x|}{1+x^2}dx... Jul17-14 12:33 PM Mogarrr 3 558 Hi, so this is just a quick question about taking a derivative of an integral. Assume that I have some function of... Jul16-14 06:34 PM gopher_p 1 481 I have a few questions about the generalizations of concepts like integration and differentiation of single-valued... Jul16-14 03:13 PM jambaugh 3 1,557 Hey all, this is my first post here, I have a question that is kind of annoying me: I came across this equation: ... Jul16-14 11:13 AM Erland 1 565 $$\int \sqrt{f(x)}dx$$ is NOT the same as.. $$\sqrt{\int f(x)dx}$$ right? i did an example problem and they... Jul16-14 11:12 AM iScience 4 710 Hi everyone. Recently, I came across a closed form solution to ∫|cos(x)|dx as sin(x-∏*floor(x/∏+1/2)) +... Jul16-14 03:28 AM D H 1 698 Hi everyone, first post. Anyway, I am reviewing my math physics, and I am having trouble understanding the Divergence... Jul15-14 01:21 PM the_wolfman 3 944 A few months ago, I stumped my Mathematics teacher with a question when we were learning about displacement of a... Jul15-14 07:59 AM FilupSmith 6 733 Differentiation by first principles is as followed: $$y'=\lim_{h\rightarrow 0}\dfrac {f\left( x+h\right) -f\left(... Jul15-14 04:45 AM FilupSmith 7 713 Hi, When we have \frac{\partial}{\partial r}(r\frac{\partial p}{\partial r})=0 and we get r\frac{\partial... Jul14-14 01:35 PM statdad 1 632 My question is related to the exponential growth and decay formula Q=Ae^(kt). Simply, why is the value e used as... Jul14-14 12:21 PM HallsofIvy 6 745 Is the following statement valid? sinh{x^2}=\frac{e^{x^2}-e^{x^2}}{2} Reason I ask cause I know that... Jul13-14 05:25 PM HakimPhilo 2 964 Let's say we have a function F(\vec{r})=F(s, \phi, z). Then (correct me if I'm wrong): \frac{dF}{dx}=\frac{\partial... Jul12-14 06:44 AM TSC 5 1,984 As part of a physics calculation, I have the following integral$$\int d \bar x a^{\sigma} \left,$$with Einstein... Jul10-14 03:16 PM Fredrik 9 1,539 I know the formula for a change of variables in a double integral using Jacobians.$$ \iint_{S}\,dx\,dy =... Jul10-14 07:35 AM HallsofIvy 9 1,976 What is this integral \int\left(\frac{\mathrm{arcsinh}(ax)}{ax}\right)^{b}dx where a and b are constants. Jul9-14 06:43 PM HakimPhilo 3 1,422 Hi, What is the derivative of a p-fold convolution? \frac{\partial}{\partial Y(\omega) } \underbrace{Y(\omega)... Jul9-14 12:32 AM divB 1 1,045 What is the indefinite integral of cosec(\theta)? Jul8-14 08:59 PM HakimPhilo 4 1,206 What is Parabolic Calculus? Jul8-14 07:23 AM jedishrfu 1 1,046 how to solve triple integrals in cylindrical, spherical and rectangular coordinates ..easy ways Jul6-14 08:35 PM Mr-R 1 1,187 Hi there! The question is: if I have to prove that a function is a change of variable it is sufficient to prove... Jul6-14 08:24 AM HallsofIvy 1 1,269 How is Area a vector? How does it have direction? I thought it was basically a scalar quantity because it only had... Jul6-14 08:20 AM HallsofIvy 2 1,136 I was reading a chapter on differentials in my calculus book, when I came across the graph shown in the image attached... Jul5-14 03:07 PM mathman 8 1,579 I am familiar with the fact that the number e can be defined several ways. One particularly interesting definition is... Jul5-14 12:56 PM statdad 4 1,402 Since learning about being able to complexify differential equations (I am doing the MIT OCW course by Arthur... Jul4-14 02:35 PM mfb 1 1,371 I think i discovered a new way to define an integral, i dont know if it helps in any particular case, but its an idea... Jul4-14 12:59 PM EzequielJC 5 1,571 I know the value of the following definite integral \int_{a}^{b}ydx I also have a realtion x=f(y) i.e. x... Jul3-14 01:25 PM I like Serena 2 1,715 Hey, I was just wondering if there was a way to prove the power rule for integration using the definition of a... Jul3-14 10:55 AM micromass 1 1,256