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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Jan16-12 Greg Bernhardt
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

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