Cracking The Ap Calculus ab Exam 2018

The first two always show up on the AP Exam, so you should learn to recognize the pattern. Most of the
time, the integration requires some sticky algebra to get the integral into the proper form.

Example 4:

Don’t forget about u-substitution. Let u = x^2 and du = 2x dx. Thus, du = x dx. Substituting and

integrating, we get

Now substitute back.

    sin−1   (x^2 )  +   C

Example 5:

Anytime you see an integral where you have the square root of a constant minus a function, try to turn it
into an inverse sine. You can do that here with a little simple algebra.