# Partial Fractions = A Partial Answer

Level pending

The value of the definite integral

$\int_0^1 \frac{1}{x^3+1}dx$

can be written as $$\frac{1}{\sqrt{a}}\pi+\frac{1}{\sqrt{b}}\ln 2$$, where a and b are positive integers. Find $$a+b$$.

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