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Suppose we want to evaluate the definite integral, 4. tan x sec- « dx using the substitution, u = tan(x). = 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. 11 Part 2 Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. 4. S. a tan tan x secx dx 7 6

Suppose we want to evaluate the definite integral, TV325 - 4r2 dr using the substitution, u = 325 - 4r2 $ 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(r). Then, input the antiderivative of the integrand and the limits of integration you found. II II 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. sov TV325 - 4r2 dr