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Question

Mathematics Question on Trigonometric Equations

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

A

e34-e^{\frac{3}{4}}

B

e34e^{\frac{3}{4}}

C

12e34-\frac{1}{2}e^{\frac{3}{4}}

D

12e34\frac{1}{2}e^{\frac{3}{4}}

Answer

12e34\frac{1}{2}e^{\frac{3}{4}}

Explanation

Solution

The Correct Option is (D): 12e34\frac{1}{2}e^{\frac{3}{4}}