1. SEC 8.2: TRIGONOMETRIC INTEGRALS
Example
Find
Example
Find

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

3. TRIGONOMETRIC INTEGRALS1 2
sometimes helpful to use

4. Find Eliminating Square Roots TRIGONOMETRIC INTEGRALS
we use the identity
to eliminate a square root.
Example
Find

5. Find Find TRIGONOMETRIC INTEGRALS
We can use a similar strategy to evaluate integrals of the form
Example
Find
Example
Find

6. 1 1 2 2 TRIGONOMETRIC INTEGRALS
to express the remaining factors in terms of sec
to express the remaining factors in terms of tan

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

8. Find Find 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

9. REMARK TRIGONOMETRIC INTEGRALS Integrals of the form
can be found by similar methods because of the identity

10. 1 1 2 2 to express the remaining factors in terms of csc
to express the remaining factors in terms of cot

11. TRIGONOMETRIC INTEGRALS
Example
Find

12. Powers of tan x and sec x Eliminating Square Roots
TRIGONOMETRIC INTEGRALS
Powers of Sines and Cosines
Products of Sines and Cosines
TRIGONOMETRIC INTEGRALS
Powers of tan x and sec x
Eliminating Square Roots

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15. EXAM-2
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