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

Feb2313 09:24 AM
micromass

1 
46,074 
limn→∞(\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{4n})
Hi, when I first looked at this limit I thought that the...

Nov3013 06:48 PM
lurflurf

7 
586 
It's easy to show that \frac{dy}{dx} of y = ln(ax) where a \in ℝ, a > 0 is always \frac{1}{x} :
y = ln(ax)
y =...

Nov3013 01:20 PM
Mark44

4 
604 
I just recently discovered for myself this weird graph, can anyone explain to me what is exactly happening here. I...

Nov2913 07:28 PM
lurflurf

2 
634 
I learned how to integrate it using the complex plane and semi circle contours but I was wondering if there is a way...

Nov2913 06:11 PM
lurflurf

5 
1,260 
In the context of my work (linear differential equations), it can not be zero. But why?

Nov2913 05:18 PM
gikiian

8 
694 
I would like to get an answer or pointers to suitable material, on the following question:
I know that ∫f(x)2dx...

Nov2913 03:09 PM
Simon Bridge

5 
739 
hello,
i have a question about an explanation of integration as finding the area under a curve. I don't have any...

Nov2913 02:49 PM
BOAS

4 
554 
In my high school Calculus course, I've encountered several optimization problems involving the area of a circle and I...

Nov2913 02:31 PM
tinytim

3 
560 
* I know this is a very long post but it would mean the world to me if you could read it. I would really appreciate...

Nov2913 10:39 AM
Office_Shredder

8 
976 
Hi,
I have a basic question about convergence.
I have two sequences, x1, x2, ... and y1, y2, ..., where yn =...

Nov2813 11:52 AM
R136a1

7 
543 
Hey. There's one thing I've always been wondering about when it comes to deriving the expression for the moment of...

Nov2713 02:06 PM
Nikitin

2 
832 
Dear Forum :
I hung up with a integration
http://ppt.cc/mIpV
Can it be deduced to a simpler form?
The...

Nov2713 01:49 PM
Bill Simpson

4 
795 
Se a function f(x(t, s), y(t, s)) have as derivative with respect to t:
\frac{df}{dt}=\frac{df}{dx}...

Nov2713 10:48 AM
Jhenrique

25 
1,288 
I am completely self taught in Calculus, but I would like to have a better understanding of it before I go to College....

Nov2713 02:41 AM
SteamKing

5 
608 
While doing work, I always see notation like:
F(x) = ∫0xf(t)dt  first equation
F(x) = ∫1xf(t)dt
What is the...

Nov2613 06:47 PM
Office_Shredder

2 
524 
My tutor showed me something today, and I still can't completely wrap my head around why it makes sense. Consider the...

Nov2613 05:56 PM
fzero

1 
643 
Hello!
What calculus textbook do you recommend for microbiology major or other biology majors?
I heard good...

Nov2513 04:08 PM
cpscdave

1 
681 
Hi,
I've questions about the Fredholm integral equation :
1. Is an following eq.
a(x)y(x) +...

Nov2513 03:28 PM
mathman

4 
589 
hey pf!
so if i have a vector field \vec{V} and i know \nabla \cdot \vec{V}=0 would i be able to express \vec{V}...

Nov2513 09:51 AM
pasmith

1 
456 
So \sqrt{306} is a pretty good approximation for Pi (=3.14155).
If you add 1/51, so that you have \sqrt{306+1/51}...

Nov2513 03:09 AM
CompuChip

1 
598 
Is there a proof that shows why indefinite integrals cannot be assessed when there are an infinite number of...

Nov2413 10:34 PM
MathewsMD

19 
1,342 
For example, if you have the function f(x) = x2 then find:
d/dx any number3x∫ t2dt
Why must the dx in d/dx...

Nov2313 02:43 PM
economicsnerd

5 
614 
Hi everyone! I have a question on functional derivatives. I have a function defined as:
$$
F=\int d^3r \sum_{i=1}^3...

Nov2313 12:03 PM
Einj

0 
473 
What is the integral of 1/(x^3 + bx  c) with respect to x?
This is part of a larger problem I am working on, but...

Nov2313 08:37 AM
yuiop

2 
571 
Hi all,
Could someone please help me understand a small but significant step in the derivation of the wave equation...

Nov2313 05:39 AM
rwilliams184

0 
509 
This is a forum where we chat about calculus problems that people are wondering about. I would greatly appreciate it...

Nov2213 11:02 PM
CalculusManiac

3 
806 
How do I perform this integration:
\int \left (\frac{dy}{dx}\right)^{2} dx
Thanks!

Nov2213 12:37 PM
SgrA*

11 
940 
Hi,
take the function
I(m,n) = Integral from 0 to 1 of sin(m*pi*x)*sin(n*pi*x) over dx
depending from n and...

Nov2213 09:52 AM
HallsofIvy

1 
562 
I have the following function
f=\frac{B}{y^{3}}+\frac{C}{y^{4}}\mid\frac{dy}{dx}\mid
where B and C are constants...

Nov2213 06:16 AM
pasmith

1 
481 
I am trying to find the integral to this equation in order to obtain the cross section of a circle that has a radius =...

Nov2213 12:06 AM
SteamKing

4 
609 
Given that D²f(x) = g(x), one form that eliminate the second derivate is integrating the equation: ∫∫D²f(x)dx² =...

Nov2113 12:38 PM
Jhenrique

4 
651 
Hello all,
I was curious on the practical applications of representing a sphere in four dimensions. I recently had to...

Nov2013 10:01 PM
Myslius

4 
904 
how would describe the max/ min for the a constant function,eg. y =5
would you say all points are absolute and local...

Nov1913 08:03 PM
SteamKing

1 
542 
If it's possible to relate the product rule with the binomial theorem, so:
(x+y)^2=1x^2y^0+2x^1y^1+1x^0y^2...

Nov1913 11:49 AM
HallsofIvy

3 
719 
Hi
Could anyone give me a hint on getting a closed form for the following integral:
\int\frac{1}{k + sin(x)}dx
...

Nov1813 08:26 PM
darkfeffy

2 
633 
Hello all,
I'm still a math newbie. I'm just about finished with part 1 of Spivak's calculus; this is my first...

Nov1713 09:40 PM
HallsofIvy

18 
2,307 
I need help understanding why the ln (x) taylor polynomial is (x1)1/2(x1)^2.... + etc.
I cannot grasp the...

Nov1713 09:23 PM
HallsofIvy

1 
537 
If exist differentiation until the nth order, so, why "no exist" integration until the nth order too? I never saw a...

Nov1713 08:21 PM
Curious3141

5 
889 
I'm confused with limits of integrating and which to integrate first,
I've been getting by so far with just knowing...

Nov1713 06:24 PM
Mark44

7 
755 
Find a number "k" such that exist only one intersection between the curve exponential k^x e and the straight x·k. This...

Nov1713 05:54 PM
PSarkar

5 
552 