Mark M. answered • 11/01/19

Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.

Since F'(x) = f(x), F(x) is an antiderivative of f(x).

According to the Fundamental Theorem of Calculus, ∫_{(from A to B)} f(x)dx = F(B) - F(A) = 15 - 10 = 5.