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

Feb2313 09:24 AM
micromass

1 
46,282 
In physics, we often use the assumption that if the integral:
\int_D f(\vec x) d \vec x =0
and this holds for...

Jan2406 01:20 PM
StatusX

1 
2,151 
Hi,
Find the result of this integration::
\int_0^\infty \frac { e^ {3x}  e^ {4x} }{x} dx
The members who know...

Jan2506 11:12 AM
shmoe

8 
1,324 
e^{x^2}\cos \left( e^{x^2} \right)
Mathematica doesn't have an algorithm for it, does a closed form exist for the...

Jan2706 03:19 AM
cogito²

1 
1,445 
In the Fundamental Theorem of Calculus, it is stated that
lim max deltax_k > 0 sigma f(x_k*)*deltax_k = L,
...

Jan2806 04:05 AM
Galileo

7 
2,616 
Hello everybody.
I haven't found anywhere the rigurous relation between the Continuos Fourier Transform (CFT) of a...

Jan3106 01:59 AM
Fernsanz

0 
3,159 
Hello,
I have two questions to ask regarding uniform convergence for sequences of functions.
So I know that if a...

Jan3106 03:44 AM
benorin

4 
2,821 
Hi there,
Does anyone know of a proof of why, in partial DEs, one can assume the existence of variable seperable...

Feb306 12:15 PM
arildno

2 
2,369 
Good day. I am studying Lebesgue integration in Apostol’s Mathematical Analysis. I have learned already (I believe so)...

Feb606 09:06 AM
Castilla

2 
2,137 
I didn't know where to put this exactly...
I've been stuck somewhere in calculus..... I mean...
I've been trying to...

Feb1006 09:41 AM
Jeff Ford

9 
1,327 
I have a question regarding this.
I wish I were home right now so I can give the exact words.
Anyways, the book...

Feb1606 12:02 PM
HallsofIvy

7 
1,870 
Hi everybody,
I have one question about integrals. I know the definition of an indefinite or definite integral but...

Feb1706 12:53 AM
arildno

9 
2,257 
My guess is 'yes'. :uhh:
Daniel.

Feb1706 06:39 AM
HallsofIvy

3 
1,797 
Since things are a bit quiet here, I thought I would throw out a puzzle I came up with several years ago, after...

Feb1706 03:09 PM
NateTG

7 
1,918 
Physicists do it all the time: playing around with those symbols like \frac{dx}{dt}. They just treat them like...

Feb1906 11:31 AM
Hurkyl

7 
1,952 
A few days ago, my teacher and I had a disagreement about end model behaviors. There was a question on the test...

Feb1906 04:54 PM
arildno

7 
1,447 
Just a quicky:
I've been trying to derive some expressions for derivatives of a complex functions of a complex...

Feb2006 12:33 PM
Diophantus

0 
954 
First I had learned this definition of a "measurable function" (Apostol):
"Let I be an interval. A function f: I...

Feb2006 02:03 PM
Castilla

2 
4,007 
Can anyone show me how to evaluate an integral like this by hand? I believe such integrals have an analytic solution,...

Feb2206 06:45 PM
chroot

5 
14,049 
Hello,
I need to take the integral of 2/(Y+1) over the interval . The only analytical method I know is to take the...

Feb2306 05:51 PM
Whitebread

4 
7,624 
Man holding sign: "Will explain Riemann  Roch for food".:tongue2:
puzzle: what city was I in?

Feb2506 12:23 AM
quasar987

1 
1,391 
what is the first derivative?

Feb2506 09:00 AM
arildno

2 
1,967 
Define a sequence
A_n(r) = \int_{1}^1(1x^2)^n \cos(rx)\, dx, \qquad n \in \mathbb{N}, r \in \mathbb{R}.
Prove...

Feb2506 03:13 PM
matt grime

1 
1,295 
I am a physicist, not a mathematician.
This problem has bothered me for 40 years.
All introductory Calculus texts...

Feb2606 07:22 AM
arildno

5 
6,179 
Can there exist a continuous function from the real numbers to the rationals?
Where we are considering the usually...

Feb2606 10:04 AM
JasonRox

35 
3,516 
Hey, I have to do some basic calc II questions, I'm not sure on the last few and was wondering if any of you could hel...

Feb2606 07:28 PM
blah19

0 
1,130 
Consider p_n(z) and q_d(z) two polynomials over \mathbb{C}, which can be factorized like so:
p_n(z) = a_n...

Feb2706 07:08 AM
shmoe

14 
1,328 
I am writing my senior thesis (I am an undergrad math major at UCSB) on Dirichlet Series, which are, in the classical...

Feb2706 10:12 AM
shmoe

4 
1,843 
After stating the Weierstrass Mtest for series of complex functions and the "f_n continuous and uniformly convergeant...

Feb2706 01:13 PM
quasar987

4 
1,282 
Let A and B be compact connected subsets of the plane, homeomorphic to one another. Are their complements...

Feb2706 05:44 PM
AKG

7 
1,956 
Just came across a question today with 2^x and realised i didnt know how to differentiate it. The entire function i...

Mar106 10:05 AM
VietDao29

13 
4,161 
Say, E is dependent to x,y,z. I'm expecting it's derivative at x_0,y_0,z_0 to be
dE = \lim_{\substack{\Delta...

Mar106 03:30 PM
jackiefrost

7 
2,476 
Describe the image under exp of the line with equation y = x. To do this you should find an equation (at least...

Mar206 07:40 AM
shmoe

2 
2,020 
Okay, these might be better off in two separate threads but...they are somewhat related I suppse.
Anyway, I would...

Mar506 01:25 AM
Tide

5 
2,121 
I'm trying to understand how to interpret multidemensional limits. For example, suppose you have the following:
...

Mar606 06:56 AM
HallsofIvy

2 
3,090 
Hi,
I am new here, but apparently there are some decent mathematicians around, so I would like to confront you with a...

Mar706 12:52 PM
Hendrik

9 
2,253 
\int \frac{dx}{\sqrt{1/x + C}} where C is a constant. Any ideas?

Mar806 12:55 PM
misskitty

18 
2,237 
hi:
I am faced with an integration problem and cant seem to get even Maple/Mathematica to solve it. Would really...

Mar806 05:16 PM
topsquark

1 
979 
I'm working on understanding the following relation which was referenced in the Number Theory Forum some time ago:
...

Mar806 08:54 PM
saltydog

22 
2,729 
Given \zeta (s) = \sum_{k=1}^{\infty} k^{s} which converges in the halfplane \Re (s) >1, the usual analytic...

Mar1006 03:35 AM
benorin

3 
2,544 
Does someone has read Royden's Real Analysis?
If so, please tell me if he teachs Lebesgue integration by way of...

Mar1006 08:31 AM
Castilla

2 
2,024 