Evaluate the following integrals.

Problem 15EAnswer;Step-1 The given integral is By the substitution method we can evaluate the limit . For our convenience let , us take x = 8 sin(p) (or) x = 8 cos(p) Let , x = 8 sin(p) , that implies = sin(p) = , = cos(p) = , and tan(p) = = …………..(1) Then the integrand becomes ; = = , since = 4. = = , since (p) += 1 , and = 36. = Therefore , if x = 8 sin(p) , then = ………….(2) Differentiate...