Evaluate the integral. $\int _ { 1 } ^ { \infty } \frac { 6 d x } { x \ln x }$
A) $\frac { 1 } { 2 }$
B) $- \frac { 1 } { 4 }$
C) $0$
D) $\frac { 1 } { 4 }$
E) $\text { divergent }$

Name: Evaluate the integral. $\int _ { 1 } ^ { \infty } \frac { 6 d x } { x \ln x }$ A) $\frac { 1 } { 2 }$ B) $- \frac { 1 } { 4 }$ C) $0$ D) $\frac { 1 } { 4 }$ E) $\text { divergent }$
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Question

Quizplus · Accepted Answer

The integral diverges because the integrand $\frac{6}{x \ln x}$ behaves like $\frac{1}{x}$ near $x = 1$ and diverges as $x \to \infty$.

Evaluate the Integral ∫1∞6dxxln⁡x\int _ { 1 } ^ { \infty } \frac { 6 d x } { x \ln x }∫1∞​xlnx6dx​

Evaluate the Integral $\int _ { 1 } ^ { \infty } \frac { 6 d x } { x \ln x }$