# 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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