Question

What is `f(x) = int (x+3)^2-x dx` if `f(-1) = 0`?

Answer 1

`f(x) = x^3/3+(5x^2)/2+9x+41/6`

Explanation:

after integration

`f(x)=x^3/3+(5x^2)/2+9x+C`

`0=(-1)^3/3+(5(-1)^2)/2+9(-1)+C`

`C=41/6`