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Lecture

# 7.2 Trigonometric Integrals Question #4 (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 #4 (Medium): Evaluating the Integral of Cosecant With Odd Power Strategy When tangent and secant, or cotangent and cosecant are by themselves and cannot be paired up with their usual derivative counterpart, then take the even power, and based on the identity, split the integral or apply integration by parts to solve. When they are by themselves with single power: ∫ | | ;∫ | | ∫ | | ;∫ | | Sample Question Evaluate the integral. ∫ Solution Since cotangent is by itself raised to odd power, split into one cotangent, and the rest of even power: ∫ ∫ . Based on the identity: : ∫ ( ) ∫ ( ) ∫ ( ) ∫ ∫
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