Cracking The Ap Calculus ab Exam 2018

3.

First, sketch the region.

When you slice up the area horizontally, the right end of each section is the curve x = y + 6, and the left

end of each section is always the curve x = y^2 . Now set up our integral.

    (y  +   6   −   y^2 )   dy

Evaluating this gives us the area.

    (y  +   6   −   y^2 )   dy  =   

Example 4: Find the area between the curve y = and the curve y = and the x-axis from x

= −3 to x = 3.

First, sketch the curves.