NTA CUET Mathematics With Fully Solved 2023 Papers by Pearson

CHAPTER 5

Application of Integrals

CHAPTER AT A GLANCE

Area Under the Curve

1. Curve-tracing: To find the approximate shape of a curve, the following phrases are suggested:

   (a) Symmetry:

   • Symmetry about x-axis: If all the powers of ‘y’ in the equation are even then the curve (graph) is symmetrical about the x-axis.

   

   E.g.: y₂ = 4 a x.

   • Symmetry about y-axis: If all the powers of ‘x’ in the equation are even then the curve (graph) is ­symmetrical about the y-axis.

   

   E.g.: x₂ = 4 a y.

   • Symmetry about both axis: If all the powers of ...