54 57 Applying reduction formulas Use the reduction formulas Exercises 50 53 to evaluate the following integrals 54 55 x cos 5x dx 56 x sin x dx 57 In x dx 58 Two methods Evaluate sin x In cos x dx in the following two ways a Use integration by parts 59 Two methods a Evaluate f b Evaluate X x 1 X b Use substitution dx using integration by parts dx using substitution c Verify that your answers to parts a and b are consistent 60 Two methods a Evaluate fx ln x dx using the substitution u x and evaluating In u du b Evaluate xln x dx using integration by parts c Verify that your answers to parts a and b are consistent