a (1+x^2) ^ -1 x dx= - Vidyadip

MCQ

$\int\frac{\text{a}}{(1+\text{x}^2)\tan^{-1}\text{x}}\text{dx}=$

✓
$\text{a}\log|\tan^{-1}\text{x}|+\text{c}$
B
$\frac{1}{2}(\tan^{-1}\text{x})^2+\text{c}$
C
$\text{a}\log(1+\text{x}^2)+\text{c}$
D
None of these

✓

Answer

Correct option: A.

$\text{a}\log|\tan^{-1}\text{x}|+\text{c}$

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