SEC 8.2: TRIGONOMETRIC INTEGRALS Example Find Example Find

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

TRIGONOMETRIC INTEGRALS 1 2 sometimes helpful to use

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

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

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

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

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

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

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

TRIGONOMETRIC INTEGRALS Example Find

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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