TetraQuark
Home
Posts
Projects
Contact
Integral
Integral of the month: \( \int dr \cos r^2 \)
Some fun with Fresnel integrals.
Integral of the month: \( \int_{-1}^1\frac{1}{x}\sqrt{\frac{1+x}{1-x}}\log\left(\frac{2 x^2+2x+1}{2x^2-2x+1}\right) dx \)
A crazy-ass integral.
Integral of the month: \( \iint_S dt' dt f(t'-t) \)
When the function depends only on the difference of the parameters...
Integral of the month: \( \oint_{c} \frac{ |dz|}{|z- \beta|^2} \)
Going around a circle!
Integral of the month: \( \int dx \frac{\sin^2 x}{x^2} \)
Four different ways of evaluating this lovely integral!
Integral of the month: \( \int dx \frac{\sin x}{x} \)
Three different ways of evaluating this lovely integral!
HDD average seek time
We compute the average seek time on an hard disk drive. This will involve a bit of math related to functions of random variables.
Integral of the month: \( \int \frac{ dx}{x^n+ 1} \)
Branch cuts are your friends. You can have fun with them!
Integral of the month: \( \int \frac{x^\alpha dx}{x^2- 2 \beta x + 1} \)
An integral with branch cut.
Cite
×