trouble solving the integral of $\cos(x^2)$
No, I really mean the integral of $\cos(x^2)$, not $[\cos(x)]^2$. Can the chain rule be applied here?
Apr 18, 2026 1 VIEWS
Topic: General
5104 Articles 
How to properly apply the Lie Series
I am trying to solve this problem from Symmetry Methods for Differential Equations A Beginner's Guide (Peter E. Hydon). Use the Lie Series $$F(\hat{x...
Apr 18, 2026 1 VIEWS
User Candace Agonafir - Mathematics Stack Exchange
Q&A for people studying math at any level and professionals in related fields
Apr 18, 2026 1 VIEWS
Simplify boolean expression to minimum number of literals
Problem is to simplify this boolean expression: $(a+b+c')(a'b'+c)$ I expanded it out and simplified to get to $a'b'c' + c(a+...
Apr 18, 2026 2 VIEWS
Probability paradox: Is heads followed by heads or heads followed by tails more likely?
You repeatedly flip a coin until you either get a heads followed by a tails, or two heads in a row. Which is more likely to happen first? Solution 1: Both...
Apr 18, 2026 1 VIEWS
Can a circle truly exist? [closed]
Is a circle more impossible than any other geometrical shape? Is a circle is just an infinitely-sided equilateral parallelogram? Wikipedia says... A circl...
Apr 18, 2026 1 VIEWS
Calculate an integral involving Hermite polynomials
I have to calculate the integral $$\frac{1}{\sqrt{2^nn!}\sqrt{2^ll!}}\frac{1}{\sqrt{\pi}}\int_{-\infty}^{+\infty}H_n(x)e^{-x^2+kx}H_l(x)\;\mathrm{d}x$$ wh...
Apr 18, 2026 2 VIEWS
What's the best way to think about the Hessian?
I've always thought about the Hessian like this: Let $f:\mathbb R^n \to \mathbb R$ be smooth. Let $g:\mathbb R^n \to \mathbb R^n$ such that $g(x) = \...
Apr 18, 2026 1 VIEWS
Finding the equation of a one sheeted hyperboloid
Was working on calc 3 homework assignment and couldn't find out how to solve this question. the answer doesn't matter any more,i just really wan...
Apr 18, 2026 2 VIEWS
What is the difference between set notation and interval notation?
I was wondering if there is a difference between set notation and interval notation. For example is it the same to write $\{0,\infty\}$ and $(0,\infty)$? ...
Apr 18, 2026 1 VIEWS
Can we integrate without integration rules? [closed]
We can use limits to differentiate a function using differentiation from first principles $\lim_{h\to 0} \frac{f(x+h)-f(x)}{h}$ But can we set an equality...
Apr 18, 2026 1 VIEWS
variance of iid random variables
As been said in this question iid variables, do they need to have the same mean and variance? the answer is yes, but I'm looking for the proof for th...
Apr 18, 2026 1 VIEWS