In this question, you will use a substitution to carry out the following integration:

In this question, you will use a substitution to carry out the following integration: If the answer requires a constant of integration, enter it as c. a. The integral involves the composite function (2 + 4) . What u-substitution will simplify this term? U = g(x) = 8 X du b. Find the derivative du : du dx = 2x x c. Transform the original integral into one involving u by using the substitution rule: o Replace all occurrences of 9 (T ) in the integral by U. du . Replace 9 (x) dx by du ( equivalently: replace dax by du ). -dx / (23+4)' 327 dx du (you do not need to enter du in your answer) d. Carry out the integration, and find the most general antiderivative (in terms of u). antiderivative : e. Finally, rewrite your answer in terms of x by replacing u by g(x). (23 + 4)7 312 da