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Evaluate the following : int(0)^(pi//4...

Evaluate the following :
`int_(0)^(pi//4) " tan x dx"`

Text Solution

AI Generated Solution

To evaluate the integral \( I = \int_{0}^{\frac{\pi}{4}} \tan x \, dx \), we can follow these steps: ### Step 1: Rewrite the Integral We start by rewriting the tangent function in terms of sine and cosine: \[ I = \int_{0}^{\frac{\pi}{4}} \tan x \, dx = \int_{0}^{\frac{\pi}{4}} \frac{\sin x}{\cos x} \, dx \] ...
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