Cracking The Ap Calculus ab Exam 2018

That wasn’t so hard, was it? Don’t worry. The process gets more complicated, but the idea remains the
same. Now let’s generalize this and come up with a rule.

If  a   region  is  bounded by  f(x)    above   and g(x)    below   at  all points  of  the interval    [a, b], then    the area

of  the region  is  given   by

    [f  (x) =   g(x)]   dx

Example 1: Find the area of the region between the parabola y = 1 − x^2 and the line y = 1 − x.

First, make a sketch of the region.

To find the points of intersection of the graphs, set the two equations equal to each other and solve for x.