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Question

Mathematics Question on Definite Integral

The value of 0π4dx1+tanx∫_0^{\frac{\pi}{4}} \frac{dx}{1+tanx}

A

π8+In2\frac{π}8 + In 2

B

π4+In2\frac{π}4 + In 2

C

π8+12In2\frac{π}8 +\frac{1}2 In 2

D

π8+14In2\frac{π}8 +\frac{1}4 In 2

Answer

π8+14In2\frac{π}8 +\frac{1}4 In 2

Explanation

Solution

The Correct answer is option is (D) : π8+14In2\frac{π}8 +\frac{1}4 In 2