d x x^2+2 x+5 = ___________ +C. - Vidyadip

MCQ

$\int \frac{d x}{x^2+2 x+5}=$ ___________ $+C$.

A
$\tan ^{-1}\left(\frac{x+1}{2}\right)$
✓
$\frac{1}{2} \tan ^{-1}\left(\frac{x+1}{2}\right)$
C
$\tan ^{-1}(x+1)$
D
$\frac{1}{2} \tan ^{-1}(x+1)$

✓

Answer

Correct option: B.

$\frac{1}{2} \tan ^{-1}\left(\frac{x+1}{2}\right)$

B

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