# Did you miss that class?

Calculus Level pending

Given $$b>0$$, and $\int_{1}^{\infty}\frac{\sqrt{x+b}}{x^2+b}dx$

If the minimum value of this integral can be written as $$\displaystyle \frac{a\pi}{b}$$ with $$\displaystyle \frac{a}{b}$$ a irreducible fraction, evaluate $$a+b$$