Step-by-step Solution

Integrate $\cos\left(x\right)^2$ from $1$ to $3$

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Step-by-step explanation

Problem to solve:

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

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

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

Unlock this full step-by-step solution!

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.

Final Answer

$\frac{149}{212}$$\,\,\left(\approx 0.7028219144799999\right)$

Problem Analysis

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

Main topic:

Definite integrals

Related formulas:

4. See formulas

Time to solve it:

~ 0.09 seconds