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

Feb2313 09:24 AM
micromass

1 
44,227 
I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached...

T 06:30 AM
vanhees71

8 
201 
So I'm struggling if I should interpret the integral as a sum of infinitesimally small quantities or as just the...

T 01:36 AM
JTT10

12 
718 
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...

Y 11:35 PM
Greg Bernhardt

1 
1,074 
17.3(17.3)e^(92.34940680845194549420x)^y)=17.30181504460159157646((17.3(17.3)e^((0.00118329948908244714x)^y))
...

Y 01:01 PM
Ledsnyder

2 
103 
Is a function with a removable discontinuity considered continuous? I've looked through about 6 calculus texts and...

Jul2214 04:25 PM
WWGD

11 
620 
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 
336 
Hello,
Can someone show me how the inverse Phasor transform of the sum of individual Phasors of sinusoidal...

Jul1914 11:11 PM
olivermsun

8 
686 
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 
677 
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 
831 
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 
1,743 
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 
571 
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 
434 
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 
558 
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 
481 
I have a few questions about the generalizations of concepts like integration and differentiation of singlevalued...

Jul1614 03:13 PM
jambaugh

3 
1,557 
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 
565 
$$\int \sqrt{f(x)}dx$$ is NOT the same as..
$$\sqrt{\int f(x)dx}$$ right?
i did an example problem and they...

Jul1614 11:12 AM
iScience

4 
710 
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 
698 
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 
944 
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 
733 
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 
713 
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 
632 
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 
745 
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 
964 
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 
1,984 
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 
1,539 
I know the formula for a change of variables in a double integral using Jacobians. $$ \iint_{S}\,dx\,dy =...

Jul1014 07:35 AM
HallsofIvy

9 
1,976 
What is this integral
\int\left(\frac{\mathrm{arcsinh}(ax)}{ax}\right)^{b}dx
where a and b are constants.

Jul914 06:43 PM
HakimPhilo

3 
1,422 
Hi,
What is the derivative of a pfold convolution?
\frac{\partial}{\partial Y(\omega) } \underbrace{Y(\omega)...

Jul914 12:32 AM
divB

1 
1,045 
What is the indefinite integral of cosec(\theta)?

Jul814 08:59 PM
HakimPhilo

4 
1,206 
What is Parabolic Calculus?

Jul814 07:23 AM
jedishrfu

1 
1,046 
how to solve triple integrals in cylindrical, spherical and rectangular coordinates ..easy ways

Jul614 08:35 PM
MrR

1 
1,187 
Hi there!
The question is: if I have to prove that a function is a change of variable it is sufficient to prove...

Jul614 08:24 AM
HallsofIvy

1 
1,269 
How is Area a vector? How does it have direction? I thought it was basically a scalar quantity because it only had...

Jul614 08:20 AM
HallsofIvy

2 
1,136 
I was reading a chapter on differentials in my calculus book, when I came across the graph shown in the image attached...

Jul514 03:07 PM
mathman

8 
1,579 
I am familiar with the fact that the number e can be defined several ways. One particularly interesting definition is...

Jul514 12:56 PM
statdad

4 
1,402 
Since learning about being able to complexify differential equations (I am doing the MIT OCW course by Arthur...

Jul414 02:35 PM
mfb

1 
1,371 
I think i discovered a new way to define an integral, i dont know if it helps in any particular case, but its an idea...

Jul414 12:59 PM
EzequielJC

5 
1,571 
I know the value of the following definite integral
\int_{a}^{b}ydx
I also have a realtion
x=f(y)
i.e. x...

Jul314 01:25 PM
I like Serena

2 
1,715 
Hey, I was just wondering if there was a way to prove the power rule for integration using the definition of a...

Jul314 10:55 AM
micromass

1 
1,256 