Cracking The Ap Calculus ab Exam 2018

Notice that cos x is on top between 0 and , then sin x is on top between and . The point where they

cross is , so you have to divide the area into two integrals: one from 0 to , and the other from to

. In the first region, cos x is above sin x, so the integral to evaluate is

    (cos    x   −   sin x)  dx

The integral of the second region is a little different, because sin x is above cos x.

    (sin    x   −   cos x)  dx

If you add the two integrals, you’ll get the area of the whole region.