# NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.1 Integrals

In NCERT Solutions for Class 12 maths Chapter 7 exercise 7.1 Integrals we are required to find out the anti-derivative or the integral of certain functions. As integration and differentiation are closely related, this section shows kids the difference between both the operations enabling them to relate to the topic in a better manner. It should be kept in mind that all functions are integrable. Further, we were able to find the derivative of a function at a point however, we cannot do the same for integration. One practical use of integration is to find the velocity of an object when the time is known. For the first five questions in the exercise, the functions are simple enough that we are in fact required to find the integral just by inspection. NCERT solutions Class 12 maths Chapter 7 exercise 7.1 consists of 22 questions of which 17 are short and for the remaining five longer calculation is required.

To solve the questions in the exercise it is enough to understand the property that the integral of a function is inverse of differentiation and keeping in mind how geometrically integral represents the area under the curve of a function. The Class 12 maths NCERT solutions Chapter 7 exercise 7.1 Integrals in a scrollable PDF format can be found below:

**ā** Download NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.1

**Exercise 7.1 Class 12 Chapter 7 **

### More Exercises in Class 12 Maths Chapter 7

- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.2
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.3
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.4
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.5
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.6
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.7
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.8
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.9
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.10
- NCERT Solutions Class 12 Maths Chapter 7 Ex 7.11
- NCERT Solutions Class 12 Maths Chapter 7 Miscellaneous Exercise

## NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.1 Tips

NCERT solutions Class 12 maths Chapter 7 helps to practice finding integrals based on the already acquired understanding of differentiation. The questions require more observation than calculation. However, this section lists several formulas that children must understand and memorize.

The property that ∫( f(x) + g(x) ) dx = ∫ f(x) + ∫ g(x) is very useful in solving the questions in this exercise along with properties like ∫ k f(x) = k ∫ f(x) and also ∫ k_{1} f(x) + k_{2} g(x) = k_{1}∫f(x) + k_{2}∫ g(x). The proofs of both have been given and students should make it a point to go through them in order to get a better understanding of the topic.

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