Evaluate the improper integral $\int _ { 0 } ^ { 1 } x ^ { - 2 } d x$
A)3
B) $\frac { 1 } { 4 }$
C)4
D)2
E) $\frac { 1 } { 3 }$
F) $\frac { 1 } { 2 }$
G)1
H)Divergent

Question

Evaluate the improper integral $\int _ { 0 } ^ { 1 } x ^ { - 2 } d x$ 
A)3
B) $\frac { 1 } { 4 }$ 
C)4
D)2
E) $\frac { 1 } { 3 }$ 
F) $\frac { 1 } { 2 }$ 
G)1
H)Divergent

Quizplus · Accepted Answer

The integral $\int _ { 0 } ^ { 1 } x ^ { - 2 } d x$ is equivalent to $\int _ { 0 } ^ { 1 } \frac { 1 } { x ^ { 2 } } d x$, which is a divergent integral because the function $1/x^2$ approaches infinity as $x$ approaches 0 from the right.

Evaluate the Improper Integral ∫01x−2dx\int _ { 0 } ^ { 1 } x ^ { - 2 } d x∫01​x−2dx

Evaluate the Improper Integral $\int _ { 0 } ^ { 1 } x ^ { - 2 } d x$