Question

What is `f(x) = int x-sinx dx` if `f(pi/3) = -6`?

Answer 1

`f(x)=x^2/2+cos x-13/2-pi^2/18`

Explanation:

Integrating, `f(x)=x^2/2+cos x+C`.
`f(pi/3)=pi^2/18+1/2+C=-6`
`C=-13/2-pi^2/18`