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NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.3 Integrals

NCERT Solutions for Class 12 maths Chapter 7 exercise 7.3 Integrals is a set of questions that requires an understanding of integral as the inverse of differentiation as well as finding out integration of functions using a combination of both Trigonometric identities and the method of substitution. As long as students have a good understanding of both topics this exercise is fairly easy to solve. NCERT solutions Class 12 maths Chapter 7 exercise 7.3 consists of 24 questions of which 20 are short and for the remaining four, longer calculations are required.

To find out the integration of functions involving trigonometric functions, the tool is to simplify the trigonometric function using trigonometric identities and bring it to a form that is easier to integrate. For example, the integration of cos²(x) is the same as the integration of (1+ cos 2x )/2. The pdf file of the Class 12 maths NCERT solutions Chapter 7 exercise 7.3 Integrals can be found here:

☛ Download NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.3

Exercise 7.3 Class 12 Chapter 7

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More Exercises in Class 12 Maths Chapter 7

NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.3 Tips

NCERT solutions Class 12 maths Chapter 7 exercise 7.3 will need kids to revisit the trigonometric identities. These help in finding a way so as to simplify the function to a form that can be easily integrated. There can be more than one correct and optimized way to solve the questions in this exercise depending upon which trigonometric identity a child applies.

Identities like sin x cos y = 1/2 ( sin (x+y) + sin(x-y) ) which break the function as addition of two functions makes it easier to integrate. By practicing the questions in the NCERT solutions Class 12 maths Chapter 7 we would develop the ability to bring the function to an equivalent form that is easy to integrate using trigonometric identities.

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