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Suppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx' cos(m− n)x- = cos(m+n)x] + C 1 m-n m+n -cos(m-n)x- -cos(m+n) + C 2 n-m m+n 1 — sin(m− n)x+ · a(m+n)x] + C 2 m-n m+n = 1 —cos(m− n)x+- = cos(m+n)x] + C m-n m+n

Suppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx' cos(m− n)x- = cos(m+n)x] + C 1 m-n m+n -cos(m-n)x- -cos(m+n) + C 2 n-m m+n 1 — sin(m− n)x+ · a(m+n)x] + C 2 m-n m+n = 1 —cos(m− n)x+- = cos(m+n)x] + C m-n m+n

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Suppose m and n are constants and m # n. Evaluate [sin (m.x) cos(nx) dx 1 | |___ _! -cos(m-n)x-. -cos(m+n)x] + C m-n m+n 1 ¦ -cos(m-n)x- =cos (m + n)x] + C 2 n-m m+n 1 ! [_!__ sin(x− n) x + __!__ sin{(x + n). ]-c -sin(m-n)x+ −sin(m+n)x x] + C m-n m+n 1 -cos(m-n)x- + -cos(m+n)x] + C 2 m-n m+n
Transcribed Image Text:Suppose m and n are constants and m # n. Evaluate [sin (m.x) cos(nx) dx 1 | |___ _! -cos(m-n)x-. -cos(m+n)x] + C m-n m+n 1 ¦ -cos(m-n)x- =cos (m + n)x] + C 2 n-m m+n 1 ! [_!__ sin(x− n) x + __!__ sin{(x + n). ]-c -sin(m-n)x+ −sin(m+n)x x] + C m-n m+n 1 -cos(m-n)x- + -cos(m+n)x] + C 2 m-n m+n
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