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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 45,442
This is going to be a really dumb question, but somehow it's not really clicking. I read somewhere that:...
T 12:15 AM
WWGD
1 56
We know that a function f(x) over an interval a, b] can be written as an infinite weighted sum over some set of basis...
Y 12:34 PM
WWGD
15 246
Is there any analytical way to prove that the integral \int_{2.04}^\infty \frac{\sin x}{x^2}dx is nonegative? I...
Y 12:28 PM
Mark_M
0 97
What is this integral \int\left(\frac{\mathrm{arcsinh}(ax)}{ax}\right)^{b}dx where a and b are constants.
Jul31-14 12:45 PM
TheDemx27
4 2,164
Hello, I was wondering if the formula ## \int_{a}^{b} f(x) \, dx \approx \tfrac{b-a}{6}\left. ## for...
Jul30-14 11:11 PM
olivermsun
1 151
Hello! I'm reading Mary Boa's "mathematical methods in the physical sciences" and I'm on a section about total...
Jul30-14 03:17 PM
WWGD
1 128
can someone give me some really hard intergrals to solve? make sure they are in the range of calculus 1-2 (anything...
Jul30-14 04:05 AM
exo
95 48,255
<< Moderator's Note -- Original post (OP) restored after being deleted by the poster >> PLEASE HELP! Does anyone...
Jul28-14 10:09 PM
berkeman
12 294
Alright, Im here again with another question.... When I have a rational function, let's say (x+4)/(x-2)(x-3) I...
Jul28-14 06:48 PM
eric_999
3 500
Where k is a constant. I am trying to simplify a problem but the t has constant in front of it that is not one, and...
Jul28-14 01:46 PM
MartinSTuray
4 332
In attachments, there is a pic of a page, I think there area of sector MOA should be 2π^2/x. Please tell me how this...
Jul28-14 11:22 AM
gopher_p
5 440
Hi, I just read a physics paper and there it expands signum of a sine function as below: ...
Jul25-14 05:58 PM
jbunniii
1 360
Hey! In my calculus book they claim that a second degree polynomial always can be rewritten as x^2 - a^2 or as x^2...
Jul25-14 04:33 PM
AlephZero
1 297
So I'm struggling if I should interpret the integral as a sum of infinitesimally small quantities or as just the...
Jul24-14 02:12 PM
homeomorphic
13 1,554
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...
Jul24-14 01:51 PM
da_nang
2 1,712
Hey! I have this integral: ∫((1/2)/(2x-1))dx. The first time, I did like this: ∫((1/2)/(2x-1))dx = ...
Jul24-14 01:03 PM
eric_999
3 375
I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached...
Jul24-14 06:30 AM
vanhees71
8 675
17.3-(17.3)e^(-92.34940680845194549420x)^y)=17.30181504460159157646-((17.3-(17.3)e^((-0.00118329948908244714x)^y)) ...
Jul23-14 01:01 PM
Ledsnyder
2 538
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 1,255
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
3 821
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 1,356
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 1,085
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 1,460
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 3,047
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 1,179
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
4 969
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 1,164
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 1,055
I have a few questions about the generalizations of concepts like integration and differentiation of single-valued...
Jul16-14 03:13 PM
jambaugh
3 2,327
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 1,148
$$\int \sqrt{f(x)}dx$$ 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 1,332
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 1,329
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 1,647
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 1,370
Differentiation by first principles is as followed: $$y'=\lim_{h\rightarrow 0}\dfrac {f\left( x+h\right) -f\left(...
Jul15-14 04:45 AM
FilupSmith
7 1,802
Hi, When we have \frac{\partial}{\partial r}(r\frac{\partial p}{\partial r})=0 and we get r\frac{\partial...
Jul14-14 01:35 PM
statdad
1 1,236
My question is related to the exponential growth and decay formula Q=Ae^(kt). Simply, why is the value e used as...
Jul14-14 12:21 PM
HallsofIvy
6 1,411
Is the following statement valid? sinh{x^2}=\frac{e^{x^2}-e^{x^2}}{2} Reason I ask cause I know that...
Jul13-14 05:25 PM
HakimPhilo
2 1,681
Let's say we have a function F(\vec{r})=F(s, \phi, z). Then (correct me if I'm wrong): \frac{dF}{dx}=\frac{\partial...
Jul12-14 06:44 AM
TSC
5 2,840
As part of a physics calculation, I have the following integral $$\int d \bar x a^{\sigma} \left,$$ with Einstein...
Jul10-14 03:16 PM
Fredrik
9 2,276

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