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