# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_0^{\frac{\pi}{2}}\left(\tan\left(Θ\right)\right)dΘ$

Learn how to solve definite integrals problems step by step online.

$\left[-\ln\left|\cos\left(θ\right)\right|\right]_{0}^{\frac{\pi}{2}}$

Learn how to solve definite integrals problems step by step online. Integrate tan(θ) from 0 to 1.5707963267948966. The integral of the tangent function is given by the following formula, \displaystyle\int\tan(x)dx=-\ln(\cos(x)). Evaluate the definite integral. Simplifying. When the limits of the integral do not exist, it is said that the integral is divergent.

The integral diverges.

### Problem Analysis

$\int_0^{\frac{\pi}{2}}\left(\tan\left(Θ\right)\right)dΘ$

### Main topic:

Definite integrals

~ 0.03 seconds