Consider the indefinite integral 2² sin(4x) da. We wish to use integration by parts. To this end, what are the best choices for the parts f and g' so at x² sin(4x) dx = f(a)g'(x) da? Answer: f(x)= g'(x) = Now compute the integral using integration by parts as many times as necessary. 2² sin (4.x) dx = + C, where C represents the integration constant. FORMATTING: Do not include the integration constant in your answer, as we have included it for you.

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