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Improper Integral Involving an Inverse Trigonometric Function

SVCALC-G4UAQP

Evaluate the improper integral:

$$\int_2^\infty \frac{1}{x^2+4}dx$$

A

$\cfrac{\pi}{8}$

B

$\cfrac{\pi}{4}$

C

$\cfrac{\pi}{2}$

D

$-\cfrac{\pi}{8}$

E

infinite integral