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

Feb2313 09:24 AM
micromass

1 
40,144 
how would you integrate (1+x^30)/(1+x^60) from 0 to 1?
tried so many ways but in vain..
any help?

Apr1511 08:29 AM
JJacquelin

2 
567 
Hi,
I want to know the solution of the following equation.
a = argmin_{a} \\
where x_i, y_i are column vectors...

Apr1511 05:29 AM
jasonRF

2 
1,817 
Hi Guys,
I am doing an Electromagnetism course at uni and we just derived Poynting's Theorem in class. However, he...

Apr1411 06:49 PM
Ajihood

2 
2,888 
Hello! This is my first post, so forgive me if the same topic has already been posted before.
I am going to teach...

Apr1411 05:31 PM
DarthPickley

7 
3,171 
I want to calculate what body2 must have a mass. The body2 must zero trajectory and speed. Bodies m1 and m2 are...

Apr1411 03:41 PM
asteorit1

2 
838 
I was reading a Ph.D. thesis this morning and came across the claim that "a uniform limit of absolutely continuous...

Apr1411 03:36 PM
mathman

6 
2,936 
You can choose to limit yourself to continuous or analytical functions

Apr1411 10:05 AM
nonequilibrium

3 
1,451 
\int \frac{\cos^2 x}{(1+\epsilon\cos x)^3}\,dx
Where, \epsilon > 0 is a real number constant.

Apr1411 09:32 AM
RobertT

5 
1,363 
Hello everyone, I have asked a similar question in the DE forum but couldn't get an answer so I'm hoping the mods will...

Apr1411 01:48 AM
csco

0 
688 
Hi all, I'm a beginner in calculus so my question might be stupid. When a function is differentiable, then in...

Apr1211 04:58 PM
Hurkyl

7 
1,841 
According to the orthogonality property of the associated Legendre function
P_l^{m}(cos\theta)
we have that:
...

Apr1211 01:04 PM
colinjohnstoe

1 
1,572 
Hi,
I'm trying to prove the orthogonality of associated Legendre polynomial which is called to "be easily proved":
...

Apr1211 12:39 PM
colinjohnstoe

10 
27,093 
I have a question about delta functions. What I want to believe is the following
\int_{\infty}^{0} \, dt \, f(t)...

Apr1111 07:27 PM
Dickfore

7 
2,357 
I am reading about Feynman integration or more commonly known as differentiating under the integral sign. My question...

Apr1111 09:40 AM
Stephen Tashi

11 
1,983 
The question states:
Give two different examples of f:R>R such that f is continuous and satisfies f(x+y)=f(x)+f(y)...

Apr1111 06:21 AM
HappyN

7 
3,211 
What is the definition of a zero set and what exactly does it mean?
I have come across different responses on the...

Apr1011 06:23 PM
gb7nash

4 
1,045 
let be an integral on R^3 (imporper integral over all space)
\int_{\infty}^{\infty}dx \int_{\infty}^{\infty}dy...

Apr1011 02:59 PM
zetafunction

7 
1,282 
Hello dear colleagues!
Yesterday i was trying to proof the surface area of a sphere formula, then i got some...

Apr1011 02:35 PM
spec00

4 
8,209 
EDIT: On pg. 390 of Kreyszig's Functional Analysis text, we have: "If T is a bounded linear operator on a nonempty...

Apr1011 02:25 PM
Landau

8 
1,130 
I just came across the term, and was hoping someone could tell me what they are and any general form of them. Thank...

Apr1011 02:04 PM
tinytim

1 
787 
Would the optimal trading strategy for this stockmarket optimization fantasy be trivial or nearly impossible to...

Apr1011 12:52 PM
Hurkyl

3 
956 
Design the optimal conical container that has a cover and has walls of negligible thickness. The container is to hold...

Apr1011 12:08 PM
tinytim

7 
1,181 
I innocently gave my students a problem: Which differentiable functions f: R \rightarrow R are bijective?...

Apr1011 07:45 AM
Citan Uzuki

13 
2,509 
Hello, I actually have an exam coming on series, sequences, polar coordinates and parametric equations. The only major...

Apr911 02:47 PM
matiasmorant

1 
581 
Given that 1/x is symetric across y=x, why can't we say \int^1_0 1/x  x dx= \int^\infty_1 1/x + x dx? Geometrically,...

Apr911 01:48 PM
TylerH

2 
2,832 
Hi,
I am doing work that requires me to take the derivative of an integral over a distribution. I believe I...

Apr811 04:37 PM
bob_johnson

8 
1,815 
Hi, given
u(x,t) = \int_{t_o}^t \left(Sech^2(xct_1)Sech^2(x+ct_1)\right)g(tt_1) dt_1
and g(t) \to 0 \quad...

Apr811 01:49 PM
nickthequick

0 
1,573 
I'm a selflearner (so far) when it comes to Calculus. I have completed College Algebra (with a grade of B) and...

Apr811 12:41 PM
Stephen Tashi

12 
5,040 
\ Is \ \mathbb{N} \ dense \ in \ itself.

Apr811 12:06 PM
Landau

8 
1,322 
Are there any circumstances under which we can conclude that, for an invertible, bounded linear operator T,
\...

Apr811 11:54 AM
AxiomOfChoice

3 
8,542 
Suppose u(x) is periodic with period 2\pi. Also m\le u(x)\le M.
Then is it possible for some derivatives of u(x) to...

Apr811 11:51 AM
Charles49

4 
1,781 
Hey all, so I need to find 4th degree taylor polynomial of f(x)=sec(x) centered at c=0
Can I just use substitution...

Apr711 09:22 PM
XCyoungX

14 
12,908 
We have been using some chapters from this textbook (1995 edition, ISBN: 9780070602281) in my Advanced Calculus...

Apr711 08:51 PM
Disinterred

3 
3,051 
Hello,
Lets say I have three operators
k_3=\partial_\phi,...

Apr711 03:24 PM
jfy4

0 
547 
Hi,
I did not understand the following:
We have : Partition is always a "finite set".
A function f is said...

Apr711 03:06 PM
lavinia

8 
1,035 
I've never really thought about this before, but today it hit me: Why do we define the Fourier transform of a function...

Apr711 09:37 AM
I like Serena

8 
6,459 
I came across this question. We're looking for the conctd components of this set of circles: centered at (0,1) and...

Apr711 08:12 AM
lavinia

4 
794 
Hi guys, can anyone help me with evaluating this:
\int^{}_C y \,ds where C is the curve (x^2+y^2)^2=r^2(x^2y^2)
...

Apr711 07:41 AM
HallsofIvy

4 
1,095 
For particle location, perturbation theory, etc, I see the following integral.
\LARGE \int_0^t { e^{i\omega...

Apr711 07:36 AM
HallsofIvy

1 
1,223 
Though I know that the limit as x approaches 0 of x^x is 1, I can't prove it...
...can anyone please help me?

Apr711 03:19 AM
Bassalisk

6 
5,239 