Question

What is `F(x) = int sin(3x)-sinxcos^2(4x) dx` if `F(pi) = 3`?

Answer 1

`F(x) =1/2cosx-1/3cos3x-1/28cos7x+1/36cos9x+199/63`

Explanation:

`F(x) = int sin3x - sinxcos^2(4x)dx=`
`1/2cosx-1/3cos3x-1/28cos7x+1/36cos9x+"c"`

`F(pi)= -10/63 + "c"=3`

`"c"=199/63`

`F(x) =1/2cosx-1/3cos3x-1/28cos7x+1/36cos9x+199/63`