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AP® Calculus AB-BC

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Difficult

Improper Integral To Negative Infinity

APCALC-LZNLSQ

Evaluate the following integral:

$$\int _{ -\infty }^{ 0 }{ \cfrac { 3 }{ { x }^{ 2 }+25 } } dx$$

A

$\cfrac{-( 3\pi ) }{20}$

B

$\cfrac{( 3\pi ) }{20}$

C

$\cfrac{( 3\pi ) }{10}$

D

$\cfrac{( 9\pi ) }{20}$