NCERT Solutions for Maths Class 12 Exercise 7.8 Integrals

March 23, 202339 Insightful Publications

**NCERT Solutions for Class 12 Maths:** NCERT solutions for Class 12 Maths provide a strong conceptual foundation for all topics covered in the CBSE Class 12 Maths syllabus. It explains the important theorems and formulas in detail to help students gain a better conceptual understanding. The NCERT solutions offered by Embibe can help in studying for the Class 12 board exam.

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Experts in Class 12 Mathematics at Embibe have collated all the NCERT solutions for Class 12 Maths in this article. Embibe has over 32 topics in each of the Maths textbooks explained by top academic experts from around the world. Students who wish to score well in the upcoming exams must refer to Embibe’s learning platform to achieve great results. Embibe provides explanations for all the concepts in each chapter, making learning more interactive. Read on to know more and get access to all the required NCERT Class 12 Solutions.

Students can check and practice all the NCERT solutions of Class 12 Maths provided on this page for free. Working on NCERT Math 12th Class solutions will not only help clear the basics but will also help in improving problem-solving abilities. Embibe’s learning platform will surely help students sail through their exams.

The advantages of using Embibe’s NCERT 12 Maths solutions are not limited to math performance; they also build the groundwork for other crucial courses. Every chapter of the Class 12th NCERT Maths solutions is also available on Embibe. Moreover, students can learn new concepts from Embibe’s 3D and interactive videos to make learning fun and engaging. The important chapters from Class 12 Maths are as follows:

Chapter No. | Class 12 Maths Chapters |
---|---|

Chapter 1 | Relations and Functions |

Chapter 2 | Inverse Trigonometric Functions |

Chapter 3 | Matrices |

Chapter 4 | Determinants |

Chapter 5 | Continuity and Differentiability |

Chapter 6 | Application of Derivatives |

Chapter 7 | Integrals |

Chapter 8 | Application of Integrals |

Chapter 9 | Differential Equations |

Chapter 10 | Vector Algebra |

Chapter 11 | Three Dimensional Geometry |

Chapter 12 | Linear Programming |

Chapter 13 | Probability |

Below we have provided some of the important points to remember for NCERT Class 12 Maths solutions to ace the exams:

**Relations and Functions**are an important part of Mathematics because they help define various concepts and different types of specific valued functions and their graphs.- The term ‘relation’ in Mathematics has been drawn from the meaning of relationships in the English language, according to which two objects or quantities are related if there is a recognisable connection or link between the two objects or quantities.
**Inverses of trigonometric**functions exist solely because of the constraints on the domains and their respective ranges.- The inverse trigonometric functions play an important role in calculus, for they serve to define many integrals. The concepts of inverse trigonometric functions are used in science and engineering.
- A
**matrix**is an array of numbers or functions arranged in a rectangular pattern. - The
**determinant**is a scalar value that can be measured from the elements of a square matrix and encodes certain properties of the linear transformation described by the matrix. The determinant of a matrix*A*is denoted det(*A*), det*A*, or |*A*|. - The real value at a point in a function is said to be continuous when the function of that point is equal to the limit of the function at that point. When the entire domain is continuous, there is continuity.
- Differential Calculus is centred on the concept of the derivative. Integral Calculus is motivated by the problem of defining and calculating the region’s area bounded by the graph of the functions.
**Integration**refers to the process that is the inverse of differentiation. We will be responsible for finding the function whose differential is provided to us during the integration.**Differential equations**involve the derivative of the dependent variable concerning the independent variable.- Every identity function runs indefinitely. Every continuous function is a constant function. Every polynomial function is a continuous function. Every rational function runs indefinitely. In their domain, all trigonometric functions are continuous.
**Linear programming**is the process of optimising problems that are constrained in some way.- The likelihood of an event or outcome occurring based on a previous event or outcome is conditional probability.
- An event or a case is a subset of the sample space associated with a random experiment. For example, flipping a coin and getting either head or tail is an event.

Below we have provided the links to access the NCERT Class 12 practice questions and mock tests on Embibe. Students can access them for free and have hassle-free exam preparation.

Given below are some of the frequently asked questions on NCERT solutions for Class 12 Maths:

**Ans: **The NCERT solutions provided by Embibe include all the details easily and step-wise. Hence, students will easily understand the problems with the help of Embibe.

**Ans: **As per CBSE guidelines, NCERT books and NCERT solutions for Class 12 are enough for the board exam. However, students can still practice with Embibe to widen their level of understanding.

**Ans**: The NCERT Mathematics textbook provided by Embibe is sufficient to clear Class 12 Maths exams.

**Ans: **Embibe offers two parts of the Class 12 Maths books, which is the best for board exam preparation.

**Ans: **By referring to the NCERT solutions from Embibe, students can increase their confidence levels, understand the step-wise problem-solving approach to the questions and improve their exam performance.

*We hope that this article was helpful to you. For more information, stay tuned on Embibe.*