Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 9x dx; u = x, dv = cos 9x dx Step 1 Since dv = cos( cos(9 9 x) dx, integrate the differential equation to obtain the function v. V = cos(9 9 x) dx %3D sin 9x Also, u = x. Therefore, the differential is du = dr dr Step 2 To find the integral x cos 9x dx by the parts formula, use u = x and v = sin 9x, as used in the previous step. Apply the rule of integration by parts. dv = uv - du

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