# Can the present be absent?

Calculus Level 4

$\mathscr{E} = \displaystyle \int_{0}^{\infty} \dfrac{x^{2015}}{(1+x)^{2017}} \, dx$

If $\mathscr{E}$ can be represented in the form $\dfrac{a}{b}$, with $a, b$ being positive coprime integers, find $a + b$.

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