Question

If I(x) = ∫e^{sin\(^2\)x} (cos x sin 2x - sin x)dx and I (0) = 1, then I(π/3) is equal to

(1) \(-\frac{1}{2}e^{\frac{3}{4}}\)

(2) \(e^{\frac{3}{4}}\)

(3) \(\frac{1}{2}e^{\frac{3}{4}}\)

(4) \(-e^{\frac{3}{4}}\)

Answer 1

 Correct option is (3) \(\frac{1}{2}e^{\frac{3}{4}}\)