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

Feb2313 09:24 AM
micromass

1 
44,055 
Hello,
I have been thought differentialcalculus ages ago, but now when started reading some physics books (where...

Jul1810 12:25 PM
mnb96

2 
1,080 
I wanted to differentiate (cos(x))^x
Applying the chain rule I got x(sinx)(cosx)^(x1)
But when I go to...

Jul1810 12:12 PM
HallsofIvy

8 
2,191 
I have always been curious as to where the definition of cosh(x) and sinh(x) come from and how they are related to the...

Jul1810 06:02 AM
HallsofIvy

1 
2,311 
Hi there,
what's the integral over infinity of exp(kx^2 )? the integral of exp(x^2) is sqrt(pi)...
appreciate the...

Jul1810 05:44 AM
HallsofIvy

1 
1,826 
Hi all,
Long time stalker, first time poster. I've finally got stumped by something not already answered (as far...

Jul1710 03:05 PM
twoform

0 
617 
Okay, I have always loved physics, but I have been having a really difficult trying to grasp the advanced math that...

Jul1610 10:33 AM
some_dude

2 
793 
Hi,
During my research I came across a contour integral where the pole was on the boundary. I have never come...

Jul1610 08:24 AM
Mute

5 
2,385 
where can i find a proof of the following identity ?
\sum_{n=0}^{\infty} (x)^{n} \frac{c(n)}{n!} \sim c(x)...

Jul1610 05:24 AM
ross_tang

1 
1,029 
what is the difference between the value of function at A and the limit of function at A.
to find the limit of...

Jul1510 05:47 PM
HallsofIvy

2 
708 
Hello! I'm not quite sure where to put this. I'm programming, but my question should be strictly mathematical. ...

Jul1510 09:03 AM
arildno

9 
1,959 
In a book I am reading I see the following:
m(B_n) \uparrow m(A)\quad \textrm{if}\, B_1 \subset B_2 \subset \dots\,...

Jul1510 01:17 AM
Mark44

1 
728 
I'm trying to determine the centroid of the shape below:
http://i.imgur.com/MRbfl.jpg
The curve line is that of a...

Jul1410 05:33 PM
6Stang7

2 
861 
I was trying to calculate the following limit:
lim {x> infinity} (x² + 2x)^(1/2)  x
I manipulate f(x) in such...

Jul1410 02:00 PM
Dickfore

9 
1,015 
The integral of (sin(t)cos(t)) has two possible solutions: {(sint)^2}/2 and {(cost)^2}/2 eventhough these two...

Jul1410 12:45 PM
Danish_Khatri

3 
978 
How do you integrate 2exp(1x).dx?
The expression describes the cumulative number of cells as a function of cell...

Jul1410 08:38 AM
HallsofIvy

1 
1,752 
Hey guys, this forum has pretty much inspired me to start learning calculus, and, well, here I am.
So let's take...

Jul1310 12:24 PM
DrRocket

7 
1,251 
Basically from what I understand the integral of a function, say ∫x^2dx from say 0 to 1, can be represented as the...

Jul1210 11:46 PM
lunde

4 
1,667 
hey,
i'm having some difficulties solving a problem. i want to know exactly how to go about solving it, since i am...

Jul1210 03:36 PM
acapa

2 
1,257 
Let H be a Hilbert space and let S be the set of linear operators on H. Is there a proper subset of S that is dense in...

Jul1210 01:05 AM
adriank

3 
1,483 
To proove the inequality:
\left  \int_a^b f(t) dt \right  \le \int_a^b  f(t)  dt
for complex valued f, use...

Jul1110 11:55 AM
Office_Shredder

3 
751 
This is one of those questions I'd be afraid to ask, but here I go:
If I have a quantity \Delta y= \Delta x+...

Jul1010 09:58 AM
DrRocket

6 
1,143 
Hi,
I have a double (actually quadruple, but the other dimensions don't matter here) integral which looks like...

Jul1010 08:31 AM
rubenvb

2 
2,305 
can exist an smooth function with the property
y(\infty) =0 and y'(\infty) =1 ?
the inverse case, a function...

Jul1010 07:26 AM
losiu99

4 
825 
This question comes from the proof of Lemma 9.3 of Bartle's "The Elements of Integration and Lebesgue Measure" in page...

Jul1010 12:13 AM
DrRocket

3 
1,902 
Hi,
during the analysis of a problem in my phd thesis
I have resulted in the following equation.
\varphi(x)=...

Jul910 05:28 PM
Anthony

5 
1,606 
Hi, I had a question about surfaces. Suppose I had a mapping for a surface S:
S(u,v) > (x(u,v), y(u,v), z(u,v))
...

Jul910 03:23 PM
7thSon

0 
1,590 
The past few examples in my review book demonstrated usubstitution to integrate trig functions. The example I'm on...

Jul910 03:15 AM
Theorem.

10 
5,673 
Hello,
sorry for the trivial question: what's the correct way of computing the following double integral:
\int_a^b...

Jul910 12:57 AM
mnb96

3 
792 
What about the nonlinear forms of it?
Or is it guaranteed to reach a global minimum?

Jul910 12:09 AM
Eynstone

1 
1,134 
How is this possible?
\int_{i\infty}^\pi e^{ix} dx = i
I mean, I understand that the integral of exp(ix) is i...

Jul810 10:31 PM
Mute

3 
1,879 
I hope this is the correct forum for this thread. I know there are many threads on this but my situation is a little...

Jul810 09:36 PM
Unit

21 
10,180 
Is it possible to integrate this function
\int {e^{x^2}} dx
\int \left (y^2) e^{y^2} dy
The book says...

Jul810 12:18 PM
Mute

6 
1,777 
I would have said it is 0, but then why is it that a twice derivable function is a function like, for example, f(x) =...

Jul810 03:11 AM
arildno

1 
1,087 
I am never to comprehend the meaning of analytic and continuous functions. My problem is that I am not able to picture...

Jul810 01:17 AM
DrRocket

5 
1,098 
Can anyone confirm if I have done the following work correctly
Find the volume of a solid of revolution obtained by...

Jul710 01:48 PM
LCKurtz

1 
951 
Hi,
I want to do the following calculation:
c_{m,n} = \int_{\infty}^{\infty} t^m \phi(tn)\,dt
I know...

Jul710 07:00 AM
divB

4 
695 
if we apply ordinary integration formula to it we'll get regardless of the limits of integration. can someone show me...

Jul710 01:32 AM
Mark44

73 
76,001 
If z is complex, the following rules are true, right?
\frac{d}{dz}z^n = nz^{n1}
\frac{d}{dz}\ln{g(z)} =...

Jul610 10:08 PM
DrRocket

5 
1,040 
Theres a few key concepts about the disc and washer method that I can't quite grasp and I was hoping if I could get a...

Jul610 06:48 PM
Redbelly98

4 
2,227 
So, I'm trying to prove that \lim_{x \to a} f(x) = \lim_{h \to 0} f(a+h) and I'm wondering if this "proof" is correct:...

Jul610 02:44 PM
losiu99

2 
683 