Use integration by parts twice to evaluate fet cos(3t)dt: Step 1: Let u = et and du + S fet cos(3t)dt = - = fet cos(3t)dt = cos(3t) dt. Apply integration by parts to get a result of the form dt. Step 2: Apply integration by parts once again, letting u = et and identifying du to get a result of the form 6t -K fet cos(3t)dt, where K = a positive number. The wrap up: Adding K fet cos(3t)dt to both sides of the equation, and dividing by (K + 1) yields the answer to the original question: fet cos(3t)dt = +C.

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