Activity 5.3.2

Evaluate each of the following indefinite integrals. Check each antiderivative that you find by differentiating.

1. $\displaystyle \int \sin(8-3x) \, dx$

2. $\displaystyle \int \sec^2 (4x) \, dx$

3. $\displaystyle \int \frac{1}{11x - 9} \, dx$

4. $\displaystyle \int \csc(2x+1) \cot(2x+1) \, dx$

5. $\displaystyle \int \frac{1}{\sqrt{1-16x^2}}\, dx$

6. $\displaystyle \int 5^{-x}\, dx$