1. Sec 7.2: TRIGONOMETRIC INTEGRALS
Example
Find
Example
Find

2. 1 1 2 2 Sec 7.2: TRIGONOMETRIC INTEGRALS
to express the remaining factors in terms of cos
to express the remaining factors in terms of sin

3. Sec 7.2: TRIGONOMETRIC INTEGRALS1 2
sometimes helpful to use

4. Find Find Sec 7.2: TRIGONOMETRIC INTEGRALS
We can use a similar strategy to evaluate integrals of the form
Example
Find
Example
Find

5. 1 1 2 2 Sec 7.2: TRIGONOMETRIC INTEGRALS
to express the remaining factors in terms of sec
to express the remaining factors in terms of tan

6. Sec 7.2: TRIGONOMETRIC INTEGRALS
the guidelines are not as clear-cut. We may need to use identities, integration by parts, and occasionally a little ingenuity.

7. Find Find Sec 7.2: TRIGONOMETRIC INTEGRALS
the guidelines are not as clear-cut. We may need to use identities, integration by parts, and occasionally a little ingenuity.
Example
If an even power of tangent appears with an odd power of secant, it is helpful to express the integrand completely in terms of sec x
Find
Powers of sec x may require integration by parts, as shown in the following example.
Example
Find

8. Sec 7.2: TRIGONOMETRIC INTEGRALS
REMARK
Integrals of the form
can be found by similar methods because of the identity

9. 1 1 2 2 to express the remaining factors in terms of csc
to express the remaining factors in terms of cot

10. Sec 7.2: TRIGONOMETRIC INTEGRALS
Example
Find

12. EXAM-2
Term-082

13. EXAM-2
Term-092
EXAM-2
Term-092
EXAM-2
Term-092

14. EXAM-2
Term-092

15. EXAM-2
Term-092

17. EXAM-2
Term-092