This problem concerns the integral .1: (in: f :22 + 42 + 13 1 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 a; : h(t), where hm: I I. (b) Applying the substitution in (a) and simplifying leads to a: da;= at /+a+w fm)' w_ (c) Evaluate fg(t) tit: [gawk (d) Finally, solve the original integral: [dmi +u+m (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