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INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS1 Mark
Question
$\int\frac{\text{dx}}{\sin(\text{x-a})\sin(\text{x-b})}$ is equal to:
  1. $\sin(\text{b-a})\log|\frac{\sin(\text{x-b})}{\sin(\text{x-a})}|+\text{c}$
  2. $\text{cosec}(\text{b-a})\log|\frac{\sin(\text{x-b})}{\sin(\text{x-b})}|+\text{c}$
  3. $\text{cosec}(\text{b-a})\log|\frac{\sin(\text{x-b})}{\sin(\text{x-a})}|+\text{c}$
  4. $\sin(\text{b-a})\log|\frac{\sin(\text{x-a})}{\sin(\text{x-b})}|+\text{c}$
✓

Answer

  1. $\text{cosec}(\text{b-a})\log|\frac{\sin(\text{x-b})}{\sin(\text{x-a})}|+\text{c}$

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