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# NCERT Solutions for Class 12 Maths Chapter 7

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## NCERT Solutions for Class 12 Maths Chapter 7 - Integrals

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NCERT Solutions for Integration Class 12 PDF can be downloaded now from the official website of Vedantu. Subjects matter experts at Vedantu are deft in preparing tailor-made solutions for the Integrals Class 12 chapter taking into consideration all the needs of a student and provide tremendous help with managing their studies with efficiency. Their expertise in the education industry has made them highly capable to give unique and simple solutions to problems that may look daunting to students. But as you go through Integration Class 12 NCERT solutions on our portal, you would realize that even the most difficult problem can be handled with simplicity and ease.

The bonus of accessing our online solutions is that we do not leave you in the middle of your doubts while going through our Integrals NCERT solutions but offer constant support in clearing all your queries.

1. What is integral in simple terms?

Answer: In Calculus, an integral is often referred to as the area under a curve. As mathematical functions can be represented on a graph paper, the area enclosed between the curve of a function and the x-axis is the integral value of that particular equation. You will come across a list of formulas for calculating the integration of various functions, in class 12 calculus. Integral is also known as anti-derivative and you may observe that the integration formulas for some functions are just the reverse of that of their differentiation formulas. Integral calculus is one of the most important topics of Class 12 Mathematics.

2. What is the difference between definite and indefinite integrals?

Answer: When the upper and lower limits are given for an integral, it is called a definite integral. While calculating the definite integration of a given function f(x), for upper limit a, and lower limit b, it must be noted that you are calculating the area under the curve f(x) from x=a to x=b. Unlike definite integrals, upper and lower limits are not provided for indefinite integrals. So, you calculate a generic integral value for a family of similar functions f(x), in indefinite integral, where ‘x’ can have a range of solutions. Also, there is a notation for additive constant, C, written along with the indefinite integral value of any function.

3. Is Class 12 integral calculus difficult to understand?

Answer: No, Class 12 integral calculus is not much difficult to understand, instead it is one of the most interesting topics in the Maths syllabus 12th boards. The basic sums of integration can be solved if you have a good knowledge of the integration formulas for various types of functions. Also, understanding the concepts of integral calculus becomes easier if you have proper knowledge of derivatives. Integration is also termed as the antiderivative. A good understanding of all the concepts of integral calculus introduced in Class 12 is very essential. These concepts lay the foundation of the theories of advanced mathematics and statistical studies.

4. Where can I find reliable NCERT Solutions for Class 12 Maths Chapter 7- Integrals online?

Answer: You can find reliable NCERT Solutions for Class 12 Maths Chapter 7 - Integrals on Vedantu. The NCERT solutions on Vedantu are prepared by our team of subject matter experts and are among the best-rated integral solutions available online. All the sums of NCERT Class 12 Maths Chapter 7 are worked out in a stepwise manner so that students can verify their own solutions. This also helps them to identify their mistakes. Our subject matter experts have followed the updated CBSE guidelines for Class 12, for preparing the NCERT Maths solutions for integrals. You can download these NCERT solutions for free and you can refer to them for practice purposes.