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.

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

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. Apply the identity: \cos\left(x\right)^2=\frac{1+\cos\left(2x\right)}{2}. Take the constant \frac{1}{2} out of the integral. Expand the integral. The integral of a constant is equal to the constant times the integral's variable.

Final Answer

$\frac{149}{212}$$\,\,\left(\approx 0.702822\right)$
$\int_{1}^{3}\cos\left(x\right)^2dx$

Main topic:

Definite integrals

Related formulas:

4. See formulas

Steps:

7

Time to solve it:

~ 0.07 s (SnapXam)