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SEC 8.2: TRIGONOMETRIC INTEGRALS
Example Find Example Find
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1 1 2 2 TRIGONOMETRIC INTEGRALS
to express the remaining factors in terms of cos to express the remaining factors in terms of sin
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TRIGONOMETRIC INTEGRALS
1 2 sometimes helpful to use
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Find Eliminating Square Roots TRIGONOMETRIC INTEGRALS
we use the identity to eliminate a square root. Example Find
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Find Find TRIGONOMETRIC INTEGRALS
We can use a similar strategy to evaluate integrals of the form Example Find Example Find
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1 1 2 2 TRIGONOMETRIC INTEGRALS
to express the remaining factors in terms of sec to express the remaining factors in terms of tan
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EXAM-2 Term-082
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TRIGONOMETRIC INTEGRALS
the guidelines are not as clear-cut. We may need to use identities, integration by parts, and occasionally a little ingenuity.
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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.
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TRIGONOMETRIC INTEGRALS
Example Find
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REMARK TRIGONOMETRIC INTEGRALS Integrals of the form
can be found by similar methods because of the identity
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1 1 2 2 to express the remaining factors in terms of csc
to express the remaining factors in terms of cot
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EXAM-2 Term-122
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Product of Sines and Cosines
EXAM-2 Term-122
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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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EXAM-2 Term-092 EXAM-2 Term-092
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TRIGONOMETRIC INTEGRALS
function of tan and sec function of Sines and Cosines TRIGONOMETRIC INTEGRALS function of cot and csc EXAM-2 Term-092
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EXAM-2 Term-092
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EXAM-2 Term-092
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EXAM-2 Term-092
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