 # SEC 8 2 TRIGONOMETRIC INTEGRALS Example Find TRIGONOMETRIC

• Slides: 26 SEC 8. 2: TRIGONOMETRIC INTEGRALS Example Find TRIGONOMETRIC INTEGRALS 1 1 2 2 to express the remaining factors in terms of sin to express the remaining factors in terms of cos TRIGONOMETRIC INTEGRALS 1 2 sometimes helpful to use TRIGONOMETRIC INTEGRALS Eliminating Square Roots we use the identity to eliminate a square root. Example Find TRIGONOMETRIC INTEGRALS We can use a similar strategy to evaluate integrals of the form Example Find TRIGONOMETRIC INTEGRALS 1 1 2 2 to express the remaining factors in terms of tan to express the remaining factors in terms of sec EXAM-2 Term-082 TRIGONOMETRIC INTEGRALS the guidelines are not as clear-cut. We may need to use identities, integration by parts, and occasionally a little ingenuity. TRIGONOMETRIC INTEGRALS the guidelines are not as clear-cut. We may need to use identities, integration by parts, and occasionally a little ingenuity. Example Find 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 Powers of sec x may require integration by parts, as shown in the following example. TRIGONOMETRIC INTEGRALS Example Find TRIGONOMETRIC INTEGRALS REMARK 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 cot to express the remaining factors in terms of csc EXAM-2 Term-122 Product of Sines and Cosines EXAM-2 Term-122 TRIGONOMETRIC INTEGRALS Powers of Sines and Cosines Products of Sines and Cosines TRIGONOMETRIC INTEGRALS Powers of tan x and sec x Eliminating Square Roots EXAM-2 Term-092 TRIGONOMETRIC INTEGRALS function of tan and sec function of Sines and Cosines TRIGONOMETRIC INTEGRALS function of cot and csc EXAM-2 Term-092 EXAM-2 Term-092 EXAM-2 Term-092 EXAM-2 Term-092      