Provide an appropriate response.
-$\text { The Cauchy density function, } f ( x ) = \frac { 1 } { \pi \left( 1 + x ^ { 2 } \right) } \text {, occurs in probability theory. Show that } \int _ { - \infty } ^ { \infty } \frac { 1 } { \pi \left( 1 + x ^ { 2 } \right) } d x = 1 \text {. }$

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-$\text { The Cauchy density function, } f ( x ) = \frac { 1 } { \pi \left( 1 + x ^ { 2 } \right) } \text {, occurs in probability theory. Show that } \int _ { - \infty } ^ { \infty } \frac { 1 } { \pi \left( 1 + x ^ { 2 } \right) } d x = 1 \text {. }$

Provide an Appropriate Response