Question

how to integrate this

Answer 1

remove the constant quantity and do it
sin x^5

Answer 2

Integral sin^4 x

Integral (sin^3 x)(sinx)

Apply Integration by parts

-cosxsin^ 3 x - integral 3sin^2 x *-cosx*-cosx

=-cosxsin^3 x -3integral sin^2x*(1-sin^2 x)

=-cosxsin^3 x -3integral sin^2 x +3integral sin^4 x

Integral sin^4 x = -cosxsin^3 x /-2 +3/2integral sin^2 x