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A RIDICULOUSLY AWESOME INTEGRAL: int (0,infty) ln^2(x) (1+x^2)/(1+x^4)

ONE BALLER INTEGRAL: int(0, π/4) ln(1-tan(θ))/tan(θ)

A very interesting integral: int (0,infty) (sin(x)cos(x))/(sinh(x)cosh(x))

Unusual way to solve an integral equation

A cool result: int (0,1) arctan(x)ln(x)

When a mathematician gets bored ep.2

A fascinating differential equation: when does the derivative equal the composition?

A fascinating integral solved using Feynman's technique: int (0,infty) ln(x)/(1+cosh(x))

A floor integral leading to a nice result: int (0,1) x\floor(1/x)

A surprisingly difficult integral: int 0 to π/2 arctan(2sin(x)) solution using Feynman's trick

When a mathematician gets bored

A different approach to the Gaussian integral

How Ramanujan would DESTROY this tough integral

MESMERIZING integral result! int 0 to infty e^(cos(x))cos(sin(x))/(1+x^2)

A fascinating differential equation: when the 2nd derivative equals the inverse function

A wild generalized trigonometric integral

A very interesting Putnam problem

This is one of the coolest integrals ever solved

THE BOSE-EINSTEIN INTEGRAL

Let's calculate i factorial

Complex Analysis: Gauss' Mean Value Theorem

Contour integration with a STUNNING result!

SUPREME GOLDEN INFINITE SERIES!

A cool non linear differential equation with interesting results