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Evaluate the Integral ∫1+ln⁡xxln⁡xdx\int \frac { 1 + \ln x } { x \ln x } d x

Question 59

Multiple Choice

Evaluate the integral ∫1+ln⁡xxln⁡xdx\int \frac { 1 + \ln x } { x \ln x } d x


A) ln⁡x+C\ln x + C

B) ln⁡ln⁡x+C\ln \ln x + C
C) x+ln⁡x+Cx + \ln x + C
D) ln⁡x+ln⁡ln⁡x+C\ln x + \ln \ln x + C
E) xln⁡x+C\frac { x } { \ln x } + C
F) ln⁡x(x+ln⁡x) +C\frac { \ln x } { ( x + \ln x ) } + C

G) xln⁡x+Cx \ln x + C

H) xln⁡ln⁡x+Cx \ln \ln x + C

Correct Answer:

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