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NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2 Integrals

NCERT Solutions for Class 12 maths Chapter 7 exercise 7.2 Integrals provides questions that give the opportunity to practice finding out the integral of functions. In each of these questions, we are given a function and required to calculate the integral of it using the ‘Method of substitution’. This tool that lets us change variables is very important to perform complex integrations in a simple manner. The only point to be mindful of is that the function used of the substitution needs to be chosen with care so as to simplify the calculations rather than complicate them further.

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Class 12 Maths NCERT Solutions Chapter 7 exercise 7.2 consists of 39 questions of which 28 are short and for the remaining eleven a longer calculation is required. The ‘Method of substitution’ is akin to a trick using which for a function f(x) we replace x by another function of variable like x = g(t) differentiating both sides we get dx/dt = g’(t). As, dx = g’(t) dt, thus integral ∫ f(x) dx takes the form ∫ f(g(t)) g’(t) dt. The NCERT solutions Class 12 maths Chapter 7 exercise 7.2 Integrals is given below in the pdf format:

☛ Download NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2

Exercise 7.2 Class 12 Chapter 7

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More Exercises in Class 12 Maths Chapter 7

NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2 Tips

NCERT solutions Class 12 maths Chapter 7 exercise 7.2 requires an observant eye to study the function whose integration needs to be calculated and then find the right way to do substitution such that the integration becomes easy. Students must also be dexterous in using both differentiation and integration together.

To be able to guess correctly what the substitution should be, it would help to practice a lot of different questions. The number of questions in NCERT solutions Class 12 maths Chapter 7 and the variety of functions they cover would give a solid exposure to the tool or method of substitution.

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