### Calculus of Trigonometry & Logarithms

Many ways problem

## Things you might have done

In how many different ways can you find answers to the following integrals?

Below are some suggested methods for each of the integrals. Did you use any of these ideas? Did you come up with different approaches?

$\displaystyle {\int_{0}^{\pi} \cos 2x \, dx}$

$\displaystyle {\int_{0}}^{\frac{\pi}{2}} \sin^2 x \, dx$

$\displaystyle {\int_{-1}^{1}} \arcsin x \, dx$

$\displaystyle {\int_{-1}^{1}} \arccos x \, dx$