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Question

Mathematics Question on Some Properties of Definite Integrals

I=π6π3dx1+cotx∫^{\frac{π}{3}} _{\frac{π}{6} }\frac{dx}{1+√cot x}, then I=

A

π12\frac{π}{12}

B

π16\frac{π}{16}

C

π2\frac{π}{2}

D

π8\frac{π}{8}

Answer

π12\frac{π}{12}

Explanation

Solution

The correct option is (A): π12\frac{π}{12}