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int(0)^(pi//2)(1)/((1+tanx))dx=?...

`int_(0)^(pi//2)(1)/((1+tanx))dx=?`

A

`0`

B

`(pi)/(2)`

C

`(pi)/(4)`

D

`pi`

Text Solution

AI Generated Solution

To solve the integral \( I = \int_{0}^{\frac{\pi}{2}} \frac{1}{1 + \tan x} \, dx \), we can follow these steps: ### Step 1: Set up the integral Let \[ I = \int_{0}^{\frac{\pi}{2}} \frac{1}{1 + \tan x} \, dx \] ...
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