xdx (x-1)(x-2) equals : - Vidyadip

MCQ

$\int\frac{\text{xdx}}{(\text{x-1)}(\text{x-2})}$ equals :

A
$\log\begin{vmatrix}\frac{(\text{x}-1)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
✓
$\log\begin{vmatrix}\frac{(\text{x}-2)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
C
$\log\begin{vmatrix}\Big(\frac{\text{x}-1}{\text{x}-2}\Big)^2\end{vmatrix}+\text{c}$
D
$\log|(\text{x}-1)(\text{x}-2)+\text{c}$

✓

Answer

Correct option: B.

$\log\begin{vmatrix}\frac{(\text{x}-2)^2}{\text{x}-2}\end{vmatrix}+\text{c}$

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