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NCERT Solutions Class 12 Maths Chapter 7 – Download PDF

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NCERT Solutions

Get here NCERT Solutions Class 12 Maths Chapter 7. These NCERT Solutions for Class 12 of Maths subject includes detailed answers of all the questions in Chapter 7 – Integrals provided in NCERT Book which is prescribed for class 12 in schools.

Book: National Council of Educational Research and Training (NCERT)
Class: 12th Class
Subject: Maths
Chapter: Chapter 7 – Integrals

NCERT Solutions Class 12 Maths Chapter 7 – Free Download PDF

NCERT Solutions Class 12 Maths Chapter 7 – Integrals

NCERT Solutions for Class 12 Maths Chapter 7 – Integrals contains step-by-step and detailed solutions for every question.

  1. Introduction
  2. Integration as an Inverse Process of Differentiation
  3. Geometrical interpretation of indefinite integral
  4. Some properties of indefinite integral
  5. Comparison between differentiation and integration
  6. Methods of Integration
  7. Integration by substitution
  8. Integration using trigonometric identities
  9. Integrals of Some Particular Functions
  10. Integration by Partial Fractions
  11. Integration by Parts
  12. Integral of the type
  13. Integrals of some more types
  14. Definite Integral
  15. Definite integral as the limit of a sum
  16. Fundamental Theorem of Calculus
  17. Area function
  18. First fundamental theorem of integral calculus
  19. Second fundamental theorem of integral calculus
  20. Evaluation of Definite Integrals by Substitution
  21. Some Properties of Definite Integrals

Question 1.
sin 2x
Solution:

Question 2.
cos 3x
Solution:

Question 3.

Solution:

Question 4.
(ax + c)²
Solution:

Question 5.

Solution:

Find the following integrals in Exercises 6 to 20 :

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.

Solution:

Choose the correct answer in Exercises 21 and 22.
Question 21.
The antiderivative  equals
(a) 
(b) 
(c) 
(d) 
Solution:

Question 22.
If  such that f(2)=0 then f(x) is
(a) 
(b) 
(c) 
(d) 
Solution: