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