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INTEGRALS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSINTEGRALS1 Mark
Question
$\int\frac{\text{xdx}}{(\text{x-1)}(\text{x-2})}$ equals:
  1. $\log\begin{vmatrix}\frac{(\text{x}-1)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
  2. $\log\begin{vmatrix}\frac{(\text{x}-2)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
  3. $\log\begin{vmatrix}\Big(\frac{\text{x}-1}{\text{x}-2}\Big)^2\end{vmatrix}+\text{c}$
  4. $\log|(\text{x}-1)(\text{x}-2)+\text{c}$
✓

Answer

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

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