Yes, that is correct.

Exactly right! That is where . And, by the Fundamental Theorem of Calculus, .My other question is this: evaluate It was a bonus question on a quiz and I'm wondering how to do it. The thing sort of looks the definition of the derivative?

The variable in the integrand is a "dummy variable"- it could be anything without changing the integral.The first thing I notice is that the variable in the integrand isn't with respect to x.

No, its not f that is being differentiated, it is the integral so the derivative of the integralIf I rewrote it through FTC, I'd put ? I'm not really sure how to do this question. It sort of looks like it could be in the form of the definition of the derivative?isthe integrand, f.