LEARNING GOAL: to evaluate indefinite and definite integrals using integration by parts.

1. Evaluate the following indefinite and definite integrals.

(a) √r cos(27) dr

(b) f(4+t) sec² (1) dt

(c) In(y) dy

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(d)r sec(z) tan(2) dr (Hint: an antiderivative of sec(r) is In | sec(x) + tan(x).)