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GUJCET · Maths · Application of Integrals

The Area of the region bounded by curve \(y=\sin 2 x\) and \(x=0\) and \(x=\pi\) is __________ sq. units.

  1. A 4
  2. B 2
  3. C 1
  4. D \(\frac{3}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) 2

Step-by-step Solution

Detailed explanation

Area \( A = \int_{0}^{\pi} |\sin 2x| \,dx \) \( A = \int_{0}^{\pi/2} \sin 2x \,dx - \int_{\pi/2}^{\pi} \sin 2x \,dx \)