general
Find the arc length using Simpsons rule
I'm trying to find the arc length using Simpsons formula for this function: $\int_{0}^{\pi}\sqrt{1+cos^2(x)}$ where $h=\frac{\pi}{6}$ I've seen ...
Apr 18, 2026
Archive: General
general
How to find the antiderivative of $\sqrt{25-x^2}$?
How to find the antiderivative of $\sqrt{25-x^2}$? How would I do it? Integration by substitution doesn't seem to work in this case.
Apr 18, 2026
general
What is the origin of "how the Japanese multiply" / line multiplication?
A few months ago I made a video about a way to multiply numbers using lines (here) and it got really popular. I had heard about this trick before and I wa...
Apr 18, 2026
general
Binomial expansion in descending power
For example, find, in ascending powers of $x$, the first three terms in the expansion of $(2+5x)^7$. So, $(2+5x)^7=2^7+\binom{7}{1}(2^6)(5x)+\binom{7}{2}(...
Apr 18, 2026
general
Proving Eigenvalue squared is Eigenvalue of $A^2$
The question is: Prove that if $\lambda$ is an eigenvalue of a matrix A with corresponding eigenvector x, then $\lambda^2$ is an eigenvalue of $A^2$ with ...
Apr 18, 2026
![Find the value of a definite integral given another definite integral [closed]](https://news.conceivablytech.com/uploads/find-the-value-of-a-definite-integral-given-another-definite-integral-closed_720.jpg)
general
Find the value of a definite integral given another definite integral [closed]
I'm given a multiple choice question stating: It is known that $\int _0^4\:f\left(x\right)dx=6$. The value of $\int _3^7\:f\left(x-3\right)+2dx$ is: ...
Apr 18, 2026
general
Is real line a closed or open interval?
Is real line an open or closed interval $(-\infty,+\infty)$? I found this written in my lecture slide. "The entire real line is infinite interval that is ...
Apr 18, 2026
general
How to find the left null space from rref(A)
I was working through a problem and was wondering if there was an easier way of finding the basis of the left null space of a given matrix. (For a simple ...
Apr 18, 2026
general
Finding p value matlab
Wondering how to solve the following problem with matlab. Tried applying ttest and ttest 2 to the data but answer is not correct. Can't figure out wh...
Apr 18, 2026
general
Discontinuous function with continuous derivative
Differentiability implies continuity, but what in this case ? $$ f(x) = \frac{1}{\sqrt{2}}\arctan\left(\sqrt{2} \tan{x}\right) $$ It's discontinuous ...
Apr 18, 2026
