NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

September 13, 202239 Insightful Publications

**NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals**: The application of integrals are used in the construction of buildings or for determining the length of power cables needed to connect two substations. Students must thoroughly review the chapter’s topics before and then answer the exercise questions.

In this article, we have provided NCER Solutions for Chapter 8 prepared by our experts to help students answer the questions efficiently. Embibe provides all the solutions following the marking scheme and the exam pattern prescribed by the CBSE board. Students can easily go through the solutions and clear their concepts.

In geometry, we have learnt formulae to calculate areas of various geometrical figures, including triangles, rectangles, trapeziums and circles. The formulae of elementary geometry allow us to calculate areas of many simple figures. However, they are inadequate for calculating the areas enclosed by curves.

Embibe provides all the solutions and explanations the student needs to score good marks in maths. Before getting into the details of this chapter, let’s have an overview of the list of topics and sub-topics under the Integrals chapter:

S. No. | Topics |
---|---|

1 | Area under Simple Curves |

2 | The area of the region bounded by a curve and a line |

3 | Area between Two Curves |

Embibe provides exercise-solutions for this chapter with related practice questions along with hints and solutions.

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.

Students can go through the description of each chapter to get an overview of the contents of the chapters:

- 1st Chapter – Relations and Functions
- 2nd Chapter – Inverse Trigonometric Functions
- 3rd Chapter – Matrices
- 4th Chapter – Determinants
- 5th Chapter – Continuity and Differentiability
- 6th Chapter – Application of Derivatives
- 7th Chapter – Integrals
- 8th Chapter – Application of Integrals
- 9th Chapter – Differential Equations
- 10th Chapter – Vector Algebra
- 11th Chapter – Three Dimensional Geometry
- 12th Chapter – Linear Programming
- 13th Chapter – Probability

**Ans:*** *Students can follow Embibe for NCERT Solutions for Class 12 Maths Chapter 8

**Ans:** “Application of Integrals” is the topic covered in NCERT Class 12 Maths Chapter 8.

**Ans:** It helps students to do their preparation in a systematic way and clear their doubts effectively.

**Ans:** We advise all the students to follow Embibe for their preparation of Class 12 Maths Chapter 8.

**Ans:** Maths can be difficult for many if they fail to understand the basic concepts related to the topic. We advise students to follow Embibe for their preparation.