Evaluate the definite integrals`int_0^(pi/4)(tanx)dx`

Explanation

To evaluate the definite integral \(\int_0^{\frac{\pi}{4}} \tan x \, dx\), we will follow these steps:

### Step 1: Rewrite the Integral
We start with the integral:
\[ \int_0^{\frac{\pi}{4}} \tan x \, dx \]
Recall that \(\tan x = \frac{\sin x}{\cos x}\). However, we can also use the fact that the integral of \(\tan x\) can be expressed in terms of the logarithm of the secant function.
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