9. [-I3 Points] Consider the following integral: 1 d /W36y2 y (a) According to the method of trigonometric substitution, which of the following would be appropriate for this integral? 0 y = 65in(9) O y = 6tan(9) O y = 365in(6) O y = 36tan(9) (b) Using the substitution in part (a), which of the following integrals is equivalent to the given integral? 4 O _/ 365in(9) '19 1 O _/ 365in(0)cos(9) d9 1 O _/ 2165in(0)cos(9) d9 1 O / 65in(0) d9 + O _/ 2165in(0)cos(9) d0 4 O _/ 65in(9)cos(9) d9 (c) Evaluate the integral in part (b). Use a triangle to express the answer in terms of y. Use C for the constant of integration. MY NO