Recall the integration by parts formuala: Complete the following computation = [f(a)g'(x)dx = f(x)g(x) – ff'(x)g(x)dæ - 1. Find f'(x) and g(x) where g(x) has no constant term: f'(x) = 3e3x g(x) = = fe³3a sin(4x)da via integration by parts. Set f(x)=e³ and g'(x) = sin(4x) 2. Using the integration by parts formula, fe³* sin(4x) da = F(x) – G(x)da F(x) = = G(x) = = 3. Using integration by parts to compute fe³² sin(4x) da F(z) - (H(a)-cfe³* sin(4x)dz) H(x) C = 4. Use (1), (2), (3) to compute [G(x)dx, dx, find H(x) and a constant c such that = fe³* sin(4x) dx =

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