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Lecture

# 7.2 Trigonometric Integrals Question #2 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
7.2 Integration Techniques Trigonometric Integrals Question #2 (Medium): Evaluating the Integral of Sine & Cosine With Even Power Strategy When and or are raised to even power, half-angle identities are helpful in reducing the even power by half every time it is applied. Then the reduced power, in conjunction with trigonometric identities, the integral can be simplified and evaluated. Sample Question Evaluate the integral. ( ) ∫ Solution Since both and are raised to even power, no single term can be isolated. By applying half- angle identities, even power is reduced by half every time it is applied∫ So h(re) ∫ ( ( )) ∫ * ( ( ))+ ∫ ( ) ∫ (
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