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 24E
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![Tutorial Exercise
Evaluate the indefinite integral.
| tan(5x + 8)dx
Step 1 of 5
In order to perhaps use a substitution, rewrite tan(5x + 8) in terms of sine and cosine.
sin (5x + 8)
sin (5 z + 8)| dx
tan(5x + 8)dx =
cos(5x + 8)
Step 2 of 5
Since the numerator is the derivative of the denominator, except for a constant factor, the substitution form of
the integrand is a du, where a is a constant factor.
Use the substitution u = cos(7x+ 2)
Find du.
du = -7 sin(7x +2)
dx
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Transcribed Image Text:Tutorial Exercise
Evaluate the indefinite integral.
| tan(5x + 8)dx
Step 1 of 5
In order to perhaps use a substitution, rewrite tan(5x + 8) in terms of sine and cosine.
sin (5x + 8)
sin (5 z + 8)| dx
tan(5x + 8)dx =
cos(5x + 8)
Step 2 of 5
Since the numerator is the derivative of the denominator, except for a constant factor, the substitution form of
the integrand is a du, where a is a constant factor.
Use the substitution u = cos(7x+ 2)
Find du.
du = -7 sin(7x +2)
dx
Submit Skip (you cannot come back)
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