1 (x-3)(x-2) d x= - Vidyadip

MCQ

$\int \frac{1}{\sqrt{(x-3)(x-2)}} d x=$

A
$\frac{1}{2} \log \left[(2 x-1)+\sqrt{x^2-x-6}\right]+ c$
B
$\tan ^{-1}(2 x-1)+c$
✓
$\log \left[\left(x-\frac{1}{2}\right)+\sqrt{x^2-x-6}\right]+ c$
D
$\log \left[\left(x-\frac{1}{2}\right)+\sqrt{x^2+x+6}\right]+ c$

✓

Answer

Correct option: C.

$\log \left[\left(x-\frac{1}{2}\right)+\sqrt{x^2-x-6}\right]+ c$

$\log \left[\left(x-\frac{1}{2}\right)+\sqrt{x^2-x-6}\right]+ c$

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