Question

The value of the integral  ∫e^{sin^2x}(cosx + cos³x)sinxdx is

(A) 1/2e^{sin^2x}(3 - sin²x) + c

(B) e^{sin^2x}(1 + 1/2cos²x) + c

(C) e^{sin^2x}(3cos²x + 2sin²x) + c

(D) e^{sin^2x} (2cos²x + 3sin²x) + c

Answer 1

Answer is (A), (B)

The integral reduces to