# 17th March

Calculus Level 4

$\dfrac{\sin(\sqrt{2})}{1^3} +\dfrac{\sin(2\sqrt{2})}{2^3} +\dfrac{\sin(3\sqrt{2})}{3^3} +\cdots= \dfrac{1}{a\sqrt{b}}+\dfrac{π^b}{a\sqrt{b}}-\dfrac{π}{b}$

The expression above holds true for two positive integers $a$ and $b$. Find $2b+a$.

The problem is original

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