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Class XII Mathematics

Chapter 7: Application of Integrals

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Example 1

Area Bounded by Parabola

Find the area bounded by the curve y = x², the X-axis, and lines x = 1 and x = 3.
root αroot βy = ax² + bx + c

Calculation Steps:

  1. 1Set up integral: ∫₁³ x² dx.
  2. 2Evaluate antiderivative: [x³ / 3]₁³.
  3. 3Calculation: (3³ / 3) - (1³ / 3) = 27/3 - 1/3 = 26/3.
Solution26/3