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Evaluate the integral. ev3x x Solution According to the following statement, we substitute U = \\ 3x. If vax + b occurs, we use the rationalizing substitution u = Vax + 6. More generally, this sometimes works for V g(x). Then 3x = So dx = du and The integrand is now a product of u and the transcendental function e" so it can be integrated by parts. Choosing u' = U dv' = e" du du' = du v' we have the following. V3x dx = W / N - e " du W N A" + C W N V3X + C