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INTEGRALS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSINTEGRALS1 Mark
Question
$\int\frac{\sin\text{x} + \cos\text{x}}{\sqrt{(1 + \sin2\text{x})}}\text{dx}$ is:
  1. $\sin\text{x + c}$
  2. $\text{x + c}$
  3. $\cos\text{x + c}$
  4. $\tan\text{x + c}$
✓

Answer

  1. $\text{x + c}$
Solution:
$\int\frac{\sin\text{x} + \cos\text{x}}{\sqrt{(1 + \sin2\text{x})}}\text{dx}$
$\int\frac{\sin\text{x} + \cos\text{x}}{\sqrt{(\sin\text{x}+\cos\text{x})^2}}\text{dx}$
$=\int1\text{dx}$
$=\text{x + c}$

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