# This Integral is really Hot!

Calculus Level 5

$\large{H = \int_{-1}^1 \left( \dfrac{2^x \tan^2(x)}{1+2^x} + \dfrac{3^x\tan^4(x)}{1+3^x} \right) \ dx}$

If $$H$$ can be represented as:

$\large{\dfrac{\left(\tan\left(\frac{\pi^A}{B}\right)\right)^C}{D}}$

where $$A,B,C,D$$ are non-negative integers, find the value of $$A+B+C+D$$?

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