Madhya Pradesh Board Class 12 Mathematics — Chapter Summaries

Relations are subsets of a Cartesian product, and functions are special relations with a precise rule of association. The chapter develops the basic language of domain, codomain, range, types of relations, equivalence relations, types of functions, composition, and invertibility. It also shows how t…

Integrals form the inverse side of differentiation and are used to find anti derivatives, evaluate area under curves, and compute definite values from limits. The chapter begins with the idea that many functions share the same derivative up to a constant, so their anti derivatives form a family. It …

Inverse trigonometric functions are defined by restricting the domains of trigonometric functions so that they become one-one and onto. This makes inverse functions possible and gives each inverse trigonometric function a principal value branch. The chapter focuses on the six inverse trigonometric f…