Application of Integrals · Class 12 · CBSE · Science Mathematics

The area under the curve y = sin x and above the x-axis from x = 0 to x = π is:

Practice question from Application of Integrals (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-2199E1

The area under the curve y = sin x and above the x-axis from x = 0 to x = π is:

  1. A.1 square unit
  2. B.2 square unitsCorrect answer
  3. C.π square units
  4. D.π/2 square units

Solution

The required area is ∫0πsin⁡x dx=[−cos⁡x]0π=2\int_0^\pi \sin x\,dx = [-\cos x]_0^\pi = 2 square units.

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