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

Feb2313 09:24 AM
micromass

1 
45,442 
This is going to be a really dumb question, but somehow it's not really clicking.
I read somewhere that:...

T 12:15 AM
WWGD

1 
56 
We know that a function f(x) over an interval a, b] can be written as an infinite weighted sum over some set of basis...

Y 12:34 PM
WWGD

15 
246 
Is there any analytical way to prove that the integral \int_{2.04}^\infty \frac{\sin x}{x^2}dx is nonegative?
I...

Y 12:28 PM
Mark_M

0 
97 
What is this integral
\int\left(\frac{\mathrm{arcsinh}(ax)}{ax}\right)^{b}dx
where a and b are constants.

Jul3114 12:45 PM
TheDemx27

4 
2,164 
Hello,
I was wondering if the formula
## \int_{a}^{b} f(x) \, dx \approx \tfrac{ba}{6}\left. ##
for...

Jul3014 11:11 PM
olivermsun

1 
151 
Hello!
I'm reading Mary Boa's "mathematical methods in the physical sciences" and I'm on a section about total...

Jul3014 03:17 PM
WWGD

1 
128 
can someone give me some really hard intergrals to solve?
make sure they are in the range of calculus 12 (anything...

Jul3014 04:05 AM
exo

95 
48,255 
<< Moderator's Note  Original post (OP) restored after being deleted by the poster >>
PLEASE HELP! Does anyone...

Jul2814 10:09 PM
berkeman

12 
294 
Alright, Im here again with another question....
When I have a rational function, let's say (x+4)/(x2)(x3) I...

Jul2814 06:48 PM
eric_999

3 
500 
Where k is a constant.
I am trying to simplify a problem but the t has constant in front of it that is not one, and...

Jul2814 01:46 PM
MartinSTuray

4 
332 
In attachments, there is a pic of a page, I think there area of sector MOA should be 2π^2/x. Please tell me how this...

Jul2814 11:22 AM
gopher_p

5 
440 
Hi,
I just read a physics paper and there it expands signum of a sine function as below:
...

Jul2514 05:58 PM
jbunniii

1 
360 
Hey!
In my calculus book they claim that a second degree polynomial always can be rewritten as x^2  a^2 or as x^2...

Jul2514 04:33 PM
AlephZero

1 
297 
So I'm struggling if I should interpret the integral as a sum of infinitesimally small quantities or as just the...

Jul2414 02:12 PM
homeomorphic

13 
1,554 
consider this IVP
y'=rky , y(0)=y0
y= (y0)e^(kt) + (r/k)(1e^(kt))
if y,y0,r,t are provided, we should be able...

Jul2414 01:51 PM
da_nang

2 
1,712 
Hey!
I have this integral: ∫((1/2)/(2x1))dx.
The first time, I did like this: ∫((1/2)/(2x1))dx = ...

Jul2414 01:03 PM
eric_999

3 
375 
I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached...

Jul2414 06:30 AM
vanhees71

8 
675 
17.3(17.3)e^(92.34940680845194549420x)^y)=17.30181504460159157646((17.3(17.3)e^((0.00118329948908244714x)^y))
...

Jul2314 01:01 PM
Ledsnyder

2 
538 
Is a function with a removable discontinuity considered continuous? I've looked through about 6 calculus texts and...

Jul2214 04:25 PM
WWGD

11 
1,255 
Hello everyone.
Last week I had an exam in advanced calculus. One of the questions asked about the continuity of a...

Jul2014 03:59 AM
verty

3 
821 
Hello,
Can someone show me how the inverse Phasor transform of the sum of individual Phasors of sinusoidal...

Jul1914 11:11 PM
olivermsun

8 
1,356 
Hi Guys,
I am revising for an exam i have this week, the last module on my subject was calculus. I did not...

Jul1914 11:01 PM
TitoSmooth

7 
1,085 
Can anyone explain this to me? What does if mean that the area may sometimes be negative but that the area must be...

Jul1914 10:48 PM
TitoSmooth

7 
1,460 
I think I may have found an error in the text I'm reading. Here's a quote:
... + \int_0^{\infty}x^rf_1(x)sin(2\pi...

Jul1914 12:59 PM
Mogarrr

20 
3,047 
Hello,
We know that surface integrals come to the form of a surface integral of a scalar function over a surface...

Jul1914 08:48 AM
Hertz

5 
1,179 
Hello Forum,
I am familiar with the arithmetic sequence (the difference between one entry and the previous one is...

Jul1714 04:26 PM
NathanaelNolk

4 
969 
To find E X of a cauchy random variable, I need to integrate
\int_{\infty}^{\infty}\frac1{\pi}\frac{x}{1+x^2}dx...

Jul1714 12:33 PM
Mogarrr

3 
1,164 
Hi, so this is just a quick question about taking a derivative of an integral. Assume that I have some function of...

Jul1614 06:34 PM
gopher_p

1 
1,055 
I have a few questions about the generalizations of concepts like integration and differentiation of singlevalued...

Jul1614 03:13 PM
jambaugh

3 
2,327 
Hey all, this is my first post here,
I have a question that is kind of annoying me: I came across this equation:
...

Jul1614 11:13 AM
Erland

1 
1,148 
$$\int \sqrt{f(x)}dx$$ is NOT the same as..
$$\sqrt{\int f(x)dx}$$ right?
i did an example problem and they...

Jul1614 11:12 AM
iScience

4 
1,332 
Hi everyone.
Recently, I came across a closed form solution to ∫cos(x)dx as
sin(x∏*floor(x/∏+1/2)) +...

Jul1614 03:28 AM
D H

1 
1,329 
Hi everyone, first post. Anyway, I am reviewing my math physics, and I am having trouble understanding the Divergence...

Jul1514 01:21 PM
the_wolfman

3 
1,647 
A few months ago, I stumped my Mathematics teacher with a question when we were learning about displacement of a...

Jul1514 07:59 AM
FilupSmith

6 
1,370 
Differentiation by first principles is as followed:
$$y'=\lim_{h\rightarrow 0}\dfrac {f\left( x+h\right) f\left(...

Jul1514 04:45 AM
FilupSmith

7 
1,802 
Hi,
When we have \frac{\partial}{\partial r}(r\frac{\partial p}{\partial r})=0
and we get
r\frac{\partial...

Jul1414 01:35 PM
statdad

1 
1,236 
My question is related to the exponential growth and decay formula Q=Ae^(kt).
Simply, why is the value e used as...

Jul1414 12:21 PM
HallsofIvy

6 
1,411 
Is the following statement valid?
sinh{x^2}=\frac{e^{x^2}e^{x^2}}{2}
Reason I ask cause I know that...

Jul1314 05:25 PM
HakimPhilo

2 
1,681 
Let's say we have a function F(\vec{r})=F(s, \phi, z). Then (correct me if I'm wrong):
\frac{dF}{dx}=\frac{\partial...

Jul1214 06:44 AM
TSC

5 
2,840 
As part of a physics calculation, I have the following integral $$\int d \bar x a^{\sigma} \left,$$ with Einstein...

Jul1014 03:16 PM
Fredrik

9 
2,276 