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$\color{black}{\infty!=\sqrt{2\pi}}$

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^...ira nomas

$\color{black}{\displaystyle\int_{-\infty}^{\infty} \frac{\sin \left( x\right )}{x} \mathrm{d}x = \int_{-\infty}^{\infty} \frac{\sin ^ 2\left( x\right )}{x^2} \mathrm{d}x}$

$\color{black}{\displaystyle\int_0^\infty\frac{1}{(1+x^\varphi)^\varphi}\mathrm dx = 1, \ }$

$\text{where}\ \varphi=\dfrac{1+\sqrt5}{2}$ a golden ratio.

$\color{black}{\left(\sum\limits_{k=1}^n k\right)^2=\sum\limits_{k=1}^nk^3}$

For more of these cool equalities: $\color{black}{\text{Funny identities}}$ or $\color{black}{\text{Surprising identities / equations}}$