(% % r) This problem concerns the integral = [z' + 4z + 13 o which can be solved using various methods. Show how to solve it using a trigonometric substitution, by completing the steps below. (a) This integral can be evaluated using a single trigonometric substitution, which can be written in the form = = h(t), where h(t) = . (b) Applying the substitution in (a) and simplifying leads to T /:uuns\"'['m'\"' where g(t) = ; (c) Evaluate [ g(t) dt: f g(t)dt = . (d) Finally, solve the original integral: T = o fx'+4z+l3 (e) [Optional] Solve the given integral by another method, and check that the answer is equivalent to the one in part (d). Note: You can earn partial credit on this