Evaluate the improper integral whenever it is convergent. If it is divergent, state this.
-$\int _ { 1 } ^ { \infty } \frac { d x } { x }$
A) divergent
B) 1
C) 0
D) -1

Question

Evaluate the improper integral whenever it is convergent.  If it is divergent, state this.  
-$\int _ { 1 } ^ { \infty } \frac { d x } { x }$
A) divergent
B) 1
C) 0
D) -1

Quizplus · Accepted Answer

The integral $\int _ { 1 } ^ { \infty } \frac { d x } { x }$ is a classic example of a divergent integral because its antiderivative, $\ln|x|$, evaluated from 1 to infinity, grows without bound.

Evaluate the Improper Integral Whenever It Is Convergent ∫1∞dxx\int _ { 1 } ^ { \infty } \frac { d x } { x }∫1∞​xdx​

Evaluate the Improper Integral Whenever It Is Convergent $\int _ { 1 } ^ { \infty } \frac { d x } { x }$