NCERT Solutions for Class 12 Maths Chapter 7 Integrals Miscellaneous Exercise

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NCERT Solutions for Class 12 Maths Chapter 7 Integrals Miscellaneous Exercise is covered in this article. This exercise of Chapter 7 is based on all the topics that are taught in the chapter; Integration as an Inverse Process of Differentiation, Methods of Integration, Integration by Partial Fractions, Integration by Parts, Definite Integral, Fundamental Theorem of Calculus, Evaluation of Definite Integrals by Substitution.

NCERT Solutions for Class 12 Maths Chapter 7 will carry a weightage of around 6-18 marks in the CBSE Term 2 Exam 2022.
NCERT has provided a total of 44 problems and solutions based on the important topics of the exercise.

Download PDF NCERT Solutions for Class 12 Maths Chapter 7 Integrals Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 7: Important Topics

Important topics covered in Integrals Chapter are:

Double Integral
Continuous Integration
Properties of Definite Integral
Line Integral
Integrals of Particular Function

Also check: NCERT Solutions for Class 12 Maths Chapter 7 Integrals

CBSE CLASS XII Related Questions

1.
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
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2.
If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).
View Solution
3.
Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]
View Solution
4.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]
View Solution
5.
An amount of ₹ 10,000 is put into three investments at the rate of 10%, 12% and 15% per annum. The combined annual income of all three investments is ₹ 1,310, however, the combined annual income of the first and second investments is ₹ 190 short of the income from the third. Use matrix method and find the investment amount in each at the beginning of the year.
View Solution
6.
The domain of the function \( f(x) = \cos^{-1}(2x) \) is:
- \([-1, 1]\)
- \(\left[0, \frac{1}{2}\right]\)
- \([-2, 2]\)
- \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)
View Solution

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NCERT Solutions For Class 12 Mathematics Chapter 7 Integrals

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Mathematics NCERT Solutions

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NCERT Solutions For Class 12 Mathematics Chapter 9: Differential Equations

NCERT Solutions For Class 12 Mathematics Chapter 7 Integrals

NCERT Solutions For Class 12 Mathematics Chapter 12: Linear Programming

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

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You can also check

Exercise 7.1 Solutions	22 Questions
Exercise 7.2 Solutions	39 Questions
Exercise 7.3 Solutions	24 Questions
Exercise 7.4 Solutions	25 Questions
Exercise 7.5 Solutions	23 Questions
Exercise 7.6 Solutions	24 Questions
Exercise 7.7 Solutions	11 Questions
Exercise 7.8 Solutions	6 Questions
Exercise 7.9 Solutions	22 Questions
Exercise 7.10 Solutions	10 Questions
Exercise 7.11 Solutions	21 Questions
Miscellaneous Exercise Solutions	44 Questions

Fundamental Theorem of Calculus	Integration by Partial Fractions	Definite Integral Formula
Methods of Integration	List of Integral Formulas	Double Integral
Calculus Formula	Differentiation and Integration Formula	Substitution Method
Continuous integration	Properties of Definite Integral	Line Integral

Arithmetic	Calculus	Algebra
NCERT Solutions for Class 12 Maths	Maths MCQs	Maths Syllabus
Mathematics Notes	Trigonometry	Maths Study Material

NCERT Solutions for Class 12 Maths Chapter 7 Integrals Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 7: Important Topics

Other Exercises Solutions of Class 12 Maths Chapter 7 Integrals

CBSE CLASS XII Related Questions

2.
If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).

3.
Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]

4.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

6.
The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

Similar Mathematics Concepts

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NCERT Solutions for Class 12 Maths Chapter 7 Integrals Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 7: Important Topics

Other Exercises Solutions of Class 12 Maths Chapter 7 Integrals

CBSE CLASS XII Related Questions

2. If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).

3.Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]

4. Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

6.The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).

3.
Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]

4.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

6.
The domain of the function \( f(x) = \cos^{-1}(2x) \) is: