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INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS1 Mark
MCQ
If $\int\frac{\text{dx}}{(\text{x}+2)(\text{x}^2+1)}$ $=\text{a}\log|1+\text{x}^2|+\text{b}\tan^{-1}\text{x}+\frac{1}{5}\log|\text{x}+2|+\text{c},$ then:
  • A
    $\text{a}=\frac{-1}{10},\text{b}=\frac{-2}{5}$
  • B
    $\text{a}=\frac{1}{10},\text{b}=\frac{-2}{5}$
  • ✓
    $\text{a}=\frac{-1}{10},\text{b}=\frac{2}{5}$
  • D
    $\text{a}=\frac{1}{10},\text{b}=\frac{2}{5}$
✓

Answer

Correct option: C.
$\text{a}=\frac{-1}{10},\text{b}=\frac{2}{5}$
$\text{a}=\frac{-1}{10},\text{b}=\frac{2}{5}$

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