Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
40,128 
In most calculus textbooks, they use double integrals to evaluate the Gaussian integral. Where did they get the idea ...

Feb2413 11:05 PM
Mute

9 
1,320 
Hi, I'm reading a paper about integrals that occur frequently in atomic theory, and the Dirichlet formula is...

Feb2513 01:48 AM
bkarpuz

2 
4,150 
Dear members,
see attached pdf file.Can you help me to prove this formulas.
Thank you
Belgium 12
This is...

Mar113 04:02 PM
HallsofIvy

2 
1,156 
Hi
I have this integral that I want to express in terms of a gamma function. Unfortunately I am unable to bring it...

Feb1913 11:12 PM
bossman27

1 
498 
I am trying to establish why, I'm assuming one uses taylor series,
\frac{\partial u}{\partial t}(t+k/2, x)=...

Feb1913 04:36 AM
tinytim

1 
606 
Hello,
I was starting with an equation using hooke's law and with a damping factor appended to it. The equation is...

Feb2113 10:02 AM
datahead8888

2 
641 
Is it possible to come up with a derivation of the surface area of a sphere without using a double integral? Most of...

Feb2113 03:29 PM
Vargo

4 
1,063 
Hello, I've allways wondered how to get to polar coordinates from cartisan coordinates. I took a course in fluid...

Feb2113 04:35 PM
pasmith

1 
510 
If ##f=f(x)## why then is ##df=\frac{df}{dx}dx##?

Feb2213 08:29 AM
HallsofIvy

8 
660 
Hi.
I am reading this chapter about dimensionless ratios and scaling law. and it says like this:
\alphaF =...

Feb2113 06:14 PM
hudzaifah

0 
430 
Hi everyone!
I really need help for this. I have to read a paper in economics where some parts I don't understand. ...

Feb2513 03:40 PM
arfie

4 
1,133 
I want to show that if f(x) > g(x) \forall x \in (\infty, \infty) and ...

Feb2413 08:21 PM
jbunniii

3 
144 
For any integral where the integrand is of the form f(θ)^z, with z a complex number, and f(θ) = sin(θ), cos(θ),...

Feb2713 12:59 PM
eyesontheball1

5 
636 
Consider a sphere of radius r where its density at any point is f(d) with d being the distance of the point from the...

Feb2613 02:59 PM
johnaaronrose

3 
144 
hey guys
when integrating over a complex number, do you treat the i as a constant and perform calculations normal,...

Feb2413 02:14 PM
mathman

1 
445 
I can't provide all the information, because I'm on my mobile phone. Here is a shot of the problem:
The tangent of...

Feb2413 03:33 PM
jmedina94

4 
605 
When I plot
y = 3x^{\frac{4}{3}}\frac{3}{32}x^{\frac{2}{3}},
I get:...

Feb2813 09:34 AM
Mark44

4 
600 
Hello all,
I am searching for an analytic solution to an integral of the following form:
...

Feb2613 02:43 PM
Mute

4 
585 
here is a geometric proof, similar to the one in my textbook (copied from Aryabhata, from...

Feb2613 12:33 PM
Fredrik

3 
906 
Could someone look over this and see if I have any mistakes? I'm trying to show that
∫ y' dx = ∫ dy through...

Feb2713 02:36 PM
joeblow

6 
648 
My question regards how the approximation becomes an equality.

Mar113 05:31 PM
charliepebs

6 
760 
Hi!
Given a function r:\mathbb{R} \rightarrow \mathbb{R}^2, r(t) = (f_1(t), f_2(t)), is there a way to...

Feb2713 03:15 AM
mariush

2 
418 
How can I describe electric fields and equipotential surfaces using Vector calculus?? HELP...

Feb2813 09:50 AM
HallsofIvy

1 
482 
Dear Members,
I would like to ask if we plot the Roll data of a satellite in degrees vs. the time, and if we take...

Feb2713 07:57 AM
hamzaaaa

3 
446 
I can't find anywhere an example that shows how to solve a generic nonlinear system of equations with the Bisection...

Feb2713 10:56 AM
matteo86bo

0 
422 
Hi,
I'm trying to find
\iint_S \sqrt{1\left(\frac{x}{a}\right)^2 \left(\frac{y}{b}\right)^2} dS
where S...

Feb2713 06:10 PM
nickthequick

3 
534 
So, it seems that in a realvalued setting, the limit and the derivative of a realvalued function is defined only if...

Feb2813 12:49 AM
joeblow

3 
566 
Is there a visual way to represent this theorem? Like Riemanns rules with rectangles and trapezoids? I know the clear...

Feb2713 08:47 PM
JNeutron2186

3 
475 
How would one go about computing the following improper integral, with limits of integration \int exp(x+1/x)/x

Feb2813 06:24 PM
eyesontheball1

4 
623 
I'm trying to show the following:
\lim_{(x,y) \to (0,0)} \frac{x^2 + \sin^2 y}{x^2 + y^2} = 1.
One can show...

Feb2713 11:57 PM
jbunniii

3 
515 
I was bored and decide to make a function (yes, i am a bit weird). So I came up with this:
f(x)=2x+3
g(f)= f+2...

Feb2813 07:20 PM
QuantumPixel

3 
723 
Hello,
So I am trying to understand surface integrals so I can can more insight to understand Gauss's Law.
I am...

Mar113 08:08 PM
Chestermiller

8 
1,145 
So I have been thinking of this problem... what is the greatest rate of angle change for a function? As in, what is...

Feb2813 01:52 AM
pwsnafu

1 
567 
Hi members,
I have a problem with fourier transforms.
There are two attached Pdf files.
My questions are on...

Feb2813 04:21 PM
HallsofIvy

1 
489 
I have given a function g(t)=∇(f(x(t))) , f: IR³>IR and x: IR> IR³ and want to express the first 3 derivatives with...

Feb2813 04:19 PM
Gavroy

2 
404 
Dear members,
After thinking about the question I found the solution so I think??
The only doubt I have is why...

Mar113 06:59 AM
Belgium 12

0 
457 
Evaluate the following integral:
\int_0^{∞} \frac{e^{(x+x^{1})}}{x}dx

Mar213 07:54 AM
eyesontheball1

7 
793 
I am a bit confused over something that should be relatively easy to research , however, I am having a hard time...

Mar413 09:35 AM
runningninja

1 
476 
Hi
I'm currently studying Electromagnetism, and we keep coming across this symbol:
\oint
A closed line integral,...

Mar413 09:46 AM
Vargo

5 
732 
I know derivative of displacement gives you velocity, and dv/dt=a.
And I know the integral of a is v and the integral...

Mar313 10:44 PM
Simon Bridge

1 
1,469 