Cracking The Ap Calculus ab Exam 2018

So here we have dt = .

Step 2: Now plug in 2π for x and we get cos π + = .

(c) Find the average value of F′(x) on the interval [0, 4π].

Step 1: The Mean Value Theorem for Integrals says that if you want to find the average value

of  f(x)    on  an  interval    [a, b], you need    to  evaluate    the integral     f(x)   dx. So  here    we

would   evaluate    the integral     dx.

Step 2: Now we evaluate at the limits of integration, and we get