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8.3 Trigonometric Integrals

8.3 Trigonometric Integrals. Trig Identities. Product-to-Sum identities. Basic identities. Half-angle identities. Examples. Strategy.

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8.3 Trigonometric Integrals

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  1. 8.3 Trigonometric Integrals

  2. Trig Identities Product-to-Sum identities Basic identities Half-angle identities

  3. Examples

  4. Strategy • If one of the power is odd, save one sine (or cosine) factor, and express the remaining expression in terms of cosine (or sine). Then use substitution. • If both powers are even, use half-angle identities to reduce the powers • If power of secant is even, save a factor of sec2xand express the remaining expression in terms of tan x. Then use substitution. • If power of tangent is odd, save a factor of (sec x tan x) and express the remaining expression in terms of sec x. Then use substitution. • Use product-to-sum identities.

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