# "I am back" says Integration

Calculus Level 4

$\large \int \dfrac{e^{3x} + e^x}{e^{4x} - e^{2x} + 1} \, dx$

If the value of the indefinite integral above can be written as $\arctan(ae^{bx} - ge^{dx} ) + C ,$ where $a,b,d$ and $g$ are constant integers, find $101(a^2+b + d^3 + g^4)$.

Clarification: $C$ denotes the arbitrary constant of integration.

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