TS EAMCET · Maths · Area Under Curves
The area (in square units) of the region bounded by the curve \(y=|\sin 2 x|\) and \(X\)-axis in \([0,2 \pi]\) is
- A \(0\)
- B \(1\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
Required area \(A=\int_0^{2 \pi}|\sin 2 x| d x\) \(\begin{aligned}=4 \int_0^{\pi / 2} \sin 2 x d x & =4\left[-\frac{\cos 2 x}{2}\right]_0^{\pi / 2} \\ = & 2[-(-1-1)]=4\end{aligned}\) Hence, option (d) is correct.
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