Use the substitution x = 3 sint, -≤t≤ to simplify the following integral: 1 da 9-22 (a) Calculate 9-22 in terms of t. (b) If the substitution replaces da with f(t) dt then what is the function f(t)? f(t) = GS (c) Hence write the integral in terms of t: S dt. (d) Perform this integral, including constant of integration c. (e) Convert your answer from a function of t to a function of a.