1. Section 5.7 Inverse Trigonometric Functions: Integration

2. The most difficult step for recognizing the integration of the inverse trig functions is to manipulate the functions so that they fit the form of the derivatives. This involves completing the square, a skill that we will have to recall from our Algebra days. Let’s look at an example.

3. Section 5.7 Inverse Trigonometric Functions: Integration

4. We also have to recognize when the derivative pattern is in front of us:

5. Section 5.7 Inverse Trigonometric Functions: Integration Now, some examples for you to try. I’ll be quiet for awhile, please feel free to consult your neighbors.

6. Section 5.7 Inverse Trigonometric Functions: Integration One last example here and this one is kind of tough. I have it worked out on the next slide.

7. Section 5.7 Inverse Trigonometric Functions: Integration