The Almighty Formula. To this day this remains one of the most beautiful and useful formulas in Mathematics. #math

#math

Euler sum. #math

Note: .Line 1 contains a typo. Thanks to @fhdalalwi1412 for pointing out this mistake.

Integral representation of zeta(3). #math

Integral Representation of the Digamma Function. #math

Classic indefinite integral for cosec x. #math

Solving a classic indefinite Integral. #math

Completing the squares technique for solving Quadratic Equations. #math

@chris_juravich I wonder if we can find an alternative solution to this problem.

For Context: . The Fourier Series employed in this solution(line 2) has been established on this page before.

Using Integration By Parts + Fourier Series to evaluate a Definite Integral. #math

Integration By Parts to the rescue. #math

Using the impressive King's Rule techniques to solve a classic Integral. #math

Another remarkable and nonstandard substitution to evaluate Definite Integrals. #math