Question 1031526
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*[illustration tanx_from_0_to_pi_over_4.jpg].


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \pi\,\int_0^{\frac{\pi}{4}}\,\tan^2(x)\,dx\ =\ \pi\left\[\tan(x)\ -\ x\right\]_0^{\frac{\pi}{4}}]


The rest is just arithmetic.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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