Question

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

Answer 1

`C = 3e-1/2`

Explanation:

First

`intx -3e^x dx = intx dx - 3inte^x dx`
so

`1/2x^2 - 3e^x+C` if `f(1)=0`

`1/2 - 3e+C = 0`
`C = 3e-1/2`