Given the integral csc²u=cot²u+1 1+ cos2u 2 1-cos2u 2 sec²u=1+tan²u B cos²u=- sec (x-1) tan4 (x-1)dx, which of the following equations will be useful for evaluation? Ⓒsin²u=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 102E
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Given the integral sec (x - 1) tan* (x-1)dx, which of the following equations will be useful for evaluation?
csc²u=cot²u+1
1+ cos2u
2
1-cos2u.
2
sec²u=1+tan²u
B cos²u=
Ⓒsin²u=
Transcribed Image Text:Given the integral sec (x - 1) tan* (x-1)dx, which of the following equations will be useful for evaluation? csc²u=cot²u+1 1+ cos2u 2 1-cos2u. 2 sec²u=1+tan²u B cos²u= Ⓒsin²u=
If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the following is FALSE?
Ⓒ *f(x)g(x)dx= [[*f(x) dx ][√° g(x)dx]
B
Sº
kdx-bk-ak
Ⓒif(x)-g(x)]dx = f(x)dx - g(x)dx
Ⓒ √ ² kf(x) dx = kxf² f(x) d
Transcribed Image Text:If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the following is FALSE? Ⓒ *f(x)g(x)dx= [[*f(x) dx ][√° g(x)dx] B Sº kdx-bk-ak Ⓒif(x)-g(x)]dx = f(x)dx - g(x)dx Ⓒ √ ² kf(x) dx = kxf² f(x) d
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