Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) + m-1 www I -tan (+2)(x) + ₁(+¹)(x) - -tan (+1)(x) + C -tan (m-1)(x) + C -tan (-1)(x) + C -tan" (x) + C 1 M-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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Question
Evaluate
O
D
I
Stan" (x
m+3
1
m+ 1
1
M+2
I
1 + il
tan" (x) sec¹x dx
1
tan (m+3)(x)
+
(m
m+ 1)(x).
tan (™ + ²)(x) +
tan (™+ ¹)(x) –
+
tan (™ + 1)(x) + C
tan (™ − ¹)(x) + C
−tan (™ − ¹) ( x ) + C
I+M
I
M-I
!!!!!!!!!
tan" (x) + C
1
m-1
Transcribed Image Text:Evaluate O D I Stan" (x m+3 1 m+ 1 1 M+2 I 1 + il tan" (x) sec¹x dx 1 tan (m+3)(x) + (m m+ 1)(x). tan (™ + ²)(x) + tan (™+ ¹)(x) – + tan (™ + 1)(x) + C tan (™ − ¹)(x) + C −tan (™ − ¹) ( x ) + C I+M I M-I !!!!!!!!! tan" (x) + C 1 m-1
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