Showing posts with label what is the integral of sin(x) 2. Show all posts
Showing posts with label what is the integral of sin(x) 2. Show all posts

Wednesday, July 21, 2021

Integral of sin 2 x | What is the sin(x)^2 integral?

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




$sin^2x$ Integral | Integral of Sin2(x)


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

$sin^2x$ expansion(transform-conversion):

  • $sin^2x=\frac{1-cos2x}{2}$

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


→ $sin^2x=\frac{1-cos2x}{2}=\frac{1}{2}-\frac{cos2x}{2}$

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

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

→ $\frac{x}{2}-\frac{sin2x}{4}$


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

Answer > $sin^2x$ integral = $\frac{x}{2}-\frac{sin2x}{4}$