Cracking The Ap Calculus ab Exam 2018

And use u-substitution. Let u = x − 2 and du = dx.

Now, this looks familiar. Once you integrate, you get

sin−1 u +   C

After you substitute back, it becomes

sin−1(x−    2)  +   C

PRACTICE PROBLEM SET 22

Here is some more practice work on derivatives and integrals of inverse trig functions. The answers are
in Chapter 19.

1. Find the derivative of tan−1.


2. Find the derivative of sin−1.


3. Find the derivative of tan−1(ex).


4. Evaluate .


5. Evaluate .


6. Evaluate .


7. Evaluate .


8. Evaluate .