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Activity 5.3.2.
Evaluate each of the following indefinite integrals. Check each antiderivative that you find by differentiating.
(a)
\(\displaystyle \int \sin(8-3x) \, dx\)
(b)
\(\displaystyle \int \sec^2 (4x) \, dx\)
(c)
\(\displaystyle \int \frac{1}{11x - 9} \, dx\)
(d)
\(\displaystyle \int \csc(2x+1) \cot(2x+1) \, dx\)
(e)
\(\displaystyle \int \frac{1}{\sqrt{1-16x^2}}\, dx\)
(f)
\(\displaystyle \int 5^{-x}\, dx\)