Proof 2: 14 sin x dx tan xdx = /6 COs x 1 -= sec x dv = sin xdx cos x du = sec x tan xdx v =-cos x 14 14 | tan xdx = uv- | vdu 16 14 /4 1 -(-cosx)- [ (-cos x)sec x tan xdx cos x tan xdx = /6 14 tan xdx = -1+ tan xdx cos x cos x /6 /4 /4 tan xdx = -1+ tan xdx %3D /6 0 = -1

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 22E
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Hello. The following attached Calculus proof has been done incorrectly. Please explain what has been done incorrectly and then please explain the correct way of solving it. Also, show the correct way of solving it as well. Thank you. 

Proof 2:
/4
sin x
tan xdx =|
cos x
/6
1
u =
dv = sin xdx
= sec x
cos x
du = sec x tan xdx
1 = sec.
v =-cos x
14
| tan xdx = uv - [ vdu
/6
16
-(-cosx)- | (-cos x)sec x tan xdx
cos x
tan xdx
tan xdx = -1+
tan xdx
cos x
cos x
/6
14
tan xdx = -1+
| tan xdx
/6
/6
0 = -1
Transcribed Image Text:Proof 2: /4 sin x tan xdx =| cos x /6 1 u = dv = sin xdx = sec x cos x du = sec x tan xdx 1 = sec. v =-cos x 14 | tan xdx = uv - [ vdu /6 16 -(-cosx)- | (-cos x)sec x tan xdx cos x tan xdx tan xdx = -1+ tan xdx cos x cos x /6 14 tan xdx = -1+ | tan xdx /6 /6 0 = -1
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