Question

integration of sin^3xcos^3x dx

Answer 1

hii ✌️

here is ur answer....

∫sin³(x)cos³(x) dx 
= ∫sin³(x)(1 - sin²(x))cos(x)dx 

Let u = sin(x) 
du = cos(x)dx 

= ∫u³(1 - u²)du 
= ∫u³ - u^5 du 
= u⁴/4 - u^6/6 + C 
= sin⁴(x)/4 - sin^6 (x)/6 + C

hope it will help you

Answer 2

you can see your answer