Question

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

Answer 1

`F(x)=e^(x-2)+x^3/3+C`

Explanation:

We have
`inte^(x-2)+x^2dx=e^1(x-2)+x^3/3+C=F(x)`
So
`F(0)=1/e^2+C=1`
`C=1-1/e^2`