1. Lecture 12 – Trig Integrals Use u-sub, trig identities, and/or by parts. 1

2. Trig identities: 2

3. 3 Example 1

4. 4 Example 2

5. 5 Example 3 With dealing with sine or cosine functions, you are looking for (cos x dx) or (sin x dx), respectively.

6. 6 Example 4

7. Lecture 13 – More Trig Integration 7 Example 5 With dealing with tangent or secant, you are looking for (sec 2 x dx) or (sec x tan x dx), respectively.

8. 8 Example 6

9. 9 Example 7

10. 10

11. 11 Trig Substitution When faced with one of the above in an integral, create a right triangle and substitute trig expressions in  for algebraic expressions of x. (unless a simple u-substitution is available)

12. 12

13. Lecture 14 –Trig Substitution 13 Example 1

14. 14

15. 15 Example 2

16. 16

17. 17 Example 3

18. 18