## Step-by-step explanation

Problem to solve:

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.