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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
MCQ
$\int\frac{\sin\text{x} + \cos\text{x}}{\sqrt{(1 + \sin2\text{x})}}\text{dx}$ is :
  • A
    $\sin\text{x + c}$
  • ✓
    $\text{x + c}$
  • C
    $\cos\text{x + c}$
  • D
    $\tan\text{x + c}$
✓

Answer

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

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