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Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx. 1 1 A -sin(m-n)x+ - sin(m+n)x] + C 2 m-n m+n 1 B _!_cos (m − n)x - _ _ _ _ cos(m+n)x]+C -cos(m-n)x-- m-n m+n 1 1 © Ⓒ[ cos(m-n)x- ! cos(m+n)x] + C 2 n m m+n 1 1 - [ ____con(m − n)x+ _ _ _ _cox(m+n)x]+€ cos(m− - m-n

Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx. 1 1 A -sin(m-n)x+ - sin(m+n)x] + C 2 m-n m+n 1 B _!_cos (m − n)x - _ _ _ _ cos(m+n)x]+C -cos(m-n)x-- m-n m+n 1 1 © Ⓒ[ cos(m-n)x- ! cos(m+n)x] + C 2 n m m+n 1 1 - [ ____con(m − n)x+ _ _ _ _cox(m+n)x]+€ cos(m− - m-n

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 37E
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Suppose m and n are constants and m‡n. Evaluate sin(mx) cos(nx) dx. 1 1 1 A -sin(m-n)x+ -sin(m+n) m+n)x] + c 2 m-n m+n 1 1 B −cos(m− n)x-. -cos(m+n) m+n)x] + C m-n m+n 1 Ⓒ [-cos(m-nx- + cos(m+n) 1 + n)x] + C m+n 1 1 Ⓒ = [_ cos(m-n) x + + cos(m + n)x] + C D m-n m+n
Transcribed Image Text:Suppose m and n are constants and m‡n. Evaluate sin(mx) cos(nx) dx. 1 1 1 A -sin(m-n)x+ -sin(m+n) m+n)x] + c 2 m-n m+n 1 1 B −cos(m− n)x-. -cos(m+n) m+n)x] + C m-n m+n 1 Ⓒ [-cos(m-nx- + cos(m+n) 1 + n)x] + C m+n 1 1 Ⓒ = [_ cos(m-n) x + + cos(m + n)x] + C D m-n m+n
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