Is my solution correct too? integral of sin^3(x) cos^3(x) dx

[Abhishekdas]

I was solving question 5. Refer this picture

But, I did it by another method. Kindly check whether my answer is correct or not? If not, then why?

 

[Deleted member 4993]

I was solving question 5. Refer this picture

But, I did it by another method. Kindly check whether my answer is correct or not? If not, then why?

You seem to have used an identity:

[sin(2x)]³ = 1/4 * [3*sin(2x) - sin(6x)]

I have never seen this identity before. Can you prove this identity?

One way to confirm validity of your answer - would be to differentiate it and see if that reduces to the given expression [sin³(x) * cos³(x)].