Class 12 CBSE Maths Syllabus
Chapter 1: Relations and Functions
Chapter 2: Inverse Trigonometric Functions
Chapter 3: Matrices
Chapter 4: Determinants
Chapter 5: Continuity and Differentiability
Chapter 6: Applications of Derivatives
Chapter 7: Integrals
Chapter 8: Applications of Integrals
Chapter 9: Differential Equations
Chapter 10: Vector Algebra
Chapter 11:3D Geometry
Chapter 12: Linear Programming
Chapter 13: Probability
Chapter 1: Relations and Functions
Chapter 2: Inverse Trigonometric Functions
Chapter 3: Matrices
Chapter 4: Determinants
Chapter 5: Continuity and Differentiability
Chapter 6: Applications of Derivatives
Chapter 7: Integrals
Chapter 8: Applications of Integrals
Chapter 9: Differential Equations
Chapter 10: Vector Algebra
Chapter 11:3D Geometry
Chapter 12: Linear Programming
Chapter 13: Probability
Introduction
Below we have provided some of the important points to remember for this chapter to ace the exams:
- Integrals are of two types; one is Indefinite Integrals, and the other is Definite Integrals.
- Indefinite integrals do not have any limits, such as upper and lower bounds. Indefinite integrals use to integrate algebraic expressions, trigonometric functions, logarithmic functions, inverse trigonometric functions, and exponential functions.
- Definite integrals calculate the area of a curve in a graph within boundaries, such as the lower and upper limits. They can be written as [a,b] to calculate the area of the f(x) curve concerning the x-axis.
- The definite integral between two points is used to calculate the area under the curve between two points.
- The area between two curves is the area between two intersecting curves, which can be calculated using integration.
- Application of Integrals can be used in various fields, including mathematics, physics, and engineering.
Exercises
Exercise 8.1
Exercise 8.2
Miscellaneous Exercise 8
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