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

Integrate cos(x)^2 from 1 to 3

Answer

$\frac{1}{\sqrt{2}}$

Step-by-step explanation

Problem

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

Apply the formula: $\cos\left(x\right)^2$$=\frac{\cos\left(2x\right)+1}{2}$

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

Unlock this step-by-step solution!

Answer

$\frac{1}{\sqrt{2}}$

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

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 0.33 seconds