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Class XII Mathematics

Chapter 6: Integrals

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

Example 1

Integration by Substitution

Evaluate: ∫ 2x cos(x²) dx.
Point P(x, y)Tangent Slope = dy/dx

Calculation Steps:

  1. 1Let u = x² => du = 2x dx.
  2. 2Substitute in integral: ∫ cos(u) du.
  3. 3Integrate: sin(u) + C.
  4. 4Replace u: sin(x²) + C.
Solution\sin(x^2) + C