In this math lesson, we will tell you what the integral of cos x 2 is. So what is the integral of cos(x)^2? What is the integral of cos(x) to the 2nd? Cosines ^ 2 x integral you can learn this lesson. You can see the proof and solution in our article. We wish you good integral solving in advance.

## $cos^2x$ Integral | Integral of Cos2(x)

For the integral of cosx to the 2nd, we first need to write the expansion of cos^2(x).

**$cos^2x$ expansion =**$cos^2x=\frac{1+cos2x}{2}$

**$cos^2x$ transform (**

**conversion**

**) =**$cos^2x=\frac{1+cos2x}{2}$

Now that we have done the conversion, our job has become even easier. Now let's move on to the solution.

**Now let's move on to the step-by-step solution:**

→ $cos^2x=\frac{1+cos2x}{2}=\frac{1}{2}+\frac{cos2x}{2}$

→ $\int{(\frac{1}{2}+\frac{cos2x}{2})dx}$

→ $\int{\frac{1}{2}dx}+\int{\frac{cos2x}{2}dx}$

→ $\frac{x}{2}+\frac{sin2x}{4}$

As a result, our answer is $\frac{x}{2}+\frac{sin2x}{4}$. (Answer = x/2 + sin2x/4)

**$cos^2x$ integral =**$\frac{x}{2}+\frac{sin2x}{4}$

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