Evaluate ∫sinxcosxdx∫sinxcosxdx by three methods: (a) the substitution u=cosxu=cosx (b) the substitution u=sinxu=sinx (c) the identity sin2x=2sinxcosxsin2x=2sinxcosx Explain the different appearances of the answers.
Evaluate ∫sinxcosxdx∫sinxcosxdx by three methods: (a) the substitution u=cosxu=cosx (b) the substitution u=sinxu=sinx (c) the identity sin2x=2sinxcosxsin2x=2sinxcosx Explain the different appearances of the answers.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 70E
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Evaluate ∫sinxcosxdx∫sinxcosxdx by three methods:
(a) the substitution u=cosxu=cosx
(b) the substitution u=sinxu=sinx
(c) the identity sin2x=2sinxcosxsin2x=2sinxcosx
Explain the different appearances of the answers.
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