Chapter 5.3, Problem 61ES

Evaluate the integrals with the aid of Formulas $\left(5\right),\left(6\right),$ and $\left(7\right)$ .

(a) ${\displaystyle \int \frac{dx}{\sqrt{9-x^2}}}$

(b) ${\displaystyle \int \frac{dx}{5+x^2}}$

(c) ${\displaystyle \int \frac{dx}{x\sqrt{x^2-\pi }}}$