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Evaluate ∫cos⁡(ln⁡x)dx\int \cos ( \ln x ) d x A) sin⁡(ln⁡x)+C\sin ( \ln x ) + C

Question 151

Multiple Choice

Evaluate ∫cos⁡(ln⁡x) dx\int \cos ( \ln x ) d x


A) sin⁡(ln⁡x) +C\sin ( \ln x ) + C

B) x22[cos⁡(ln⁡x) +sin⁡(ln⁡x) ]+C\frac { x ^ { 2 } } { 2 } [ \cos ( \ln x ) + \sin ( \ln x ) ] + C
C) cos⁡(1x) +C\cos \left( \frac { 1 } { x } \right) + C
D) x4[cos⁡(ln⁡x) +sin⁡(ln⁡x) ]+C\frac { x } { 4 } [ \cos ( \ln x ) + \sin ( \ln x ) ] + C
E) sin⁡xx+C\frac { \sin x } { x } + C
F) x[cos⁡(ln⁡x) +sin⁡(ln⁡x) ]+Cx [ \cos ( \ln x ) + \sin ( \ln x ) ] + C

G) −sin⁡(1x) +C- \sin \left( \frac { 1 } { x } \right) + C

H) x2[cos⁡(ln⁡x) +sin⁡(ln⁡x) ]+C\frac { x } { 2 } [ \cos ( \ln x ) + \sin ( \ln x ) ] + C

Correct Answer:

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