Application of Integrals · Class 12 · CBSE · Science Mathematics

Find the area bounded by the curve y = x, the x-axis, the y-axis, and the line x = 3.

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

easy · MCQ · Q-1EFA38

Find the area bounded by the curve y = x, the x-axis, the y-axis, and the line x = 3.

  1. A.3 square units
  2. B.9/2 square unitsCorrect answer
  3. C.6 square units
  4. D.9 square units

Solution

The required area is ∫03x dx=[x22]03=92\int_0^3 x\,dx = \left[\frac{x^2}{2}\right]_0^3 = \frac{9}{2} square units.

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