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Suppose we want to evaluate the definite integral, t/12 + 9t dt using the substitution, u = 12 + 9t. 3 88 9 3 Part 1. Re-write the definite integral in terms of the variable u and remember to use the limits of integration for the function u = t(x). Then, input the antiderivative of the integrand and the limits of integration you found. 11 = Part 2 Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. t12 +9t dt 3

6.* Suppose we want to evaluate the definite integral, 2 cos x sin x dx using the substitution, u = cos(r). Part 1. Re-write the definite integral in terms of the variable u and remember to use the limits of integration for the function u= f(x). Then, input the antiderivative of the integrand and the limits of integration you found. II 11 Note: Type your answers above in such a way that the lower limit of integration is less than the upper limit of integration. Part 2 Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. 192 2 cos' sin da