# SimPly InteGrate It !!!

Calculus Level 5

If $$\alpha$$ = $$\displaystyle \int_{0}^{1}(\prod _{r=1}^{2015}(x+r))\cdot (\sum_{k=1}^{2015}(\dfrac{1}{x+k})) \mathrm dx$$

Then $$\alpha$$ can be expressed as $$A!B$$.

Find $$\dfrac{A+B}{25} + \dfrac{9,573}{A+B+\dfrac{A}{5}-212}$$.

$$\bullet \textbf{Details}$$

$$A,B$$ Both Are $$\textbf{4 Digits Numbers}$$