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 = $frac{x}{2}+frac{sin2x}{4}$
