## Step-by-step explanation

Problem to solve:

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

$\int_{1}^{3}\left(1-\sin\left(x\right)^2\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate cos(x)^2 from 1 to 3. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. The integral of a sum of two or more functions is equal to the sum of their integrals. The integral \int_{1}^{3}1dx results in: 3. The integral \int_{1}^{3}-\sin\left(x\right)^2dx results in: -1.2972.