`f(x) = e^2` Find the most general antiderivative of the function. (Check your answer by differentiation.)

Expert Answers
Borys Shumyatskiy eNotes educator| Certified Educator

`e^2` isn't depend on x, so its antiderivative is `x*e^2.` The general antiderivative is

`x*e^2+C,`

where C is any constant.

Let's check:

`(x*e^2+C)'=x'*e^2+C'=1*e^2+0=e^2.`