NCERT Solutions for Class 12 Maths Chapter 7 (Ex 7.11)
FAQs on NCERT Solutions for Class 12 Maths Chapter 7: Integrals - Exercise 7.11
1. What are NCERT class 12 maths chapter 7 integrals (Ex 7.11) Exercise 7.11 based on?
NCERT class 12 maths chapter 7 integrals (Ex 7.11) Exercise 7.11 are based on some properties of the definite integral. All questions used most of the properties of definite integrals systematically, then students will be able to know the properties of definite integrals. The definite integral is the antiderivative of the function f(x) to obtain the function F(x) and the upper limit a and lower limit b are applied to find the value F(b) - F(a).
2. Where can I download NCERT solutions for class 12 maths chapter 7 integrals (Ex- 7.11) Exercise 7.11?
We can download NCERT solutions for class 12 maths chapter 7 integrals (Ex- 7.11) Exercise 7.11 from the link of Vedantu. Solutions are prepared by expert teachers of Vedantu as per NCERT (CBSE) guidelines. Solutions help students to revise the complete syllabus and score more marks. We can register and get (Ex - 7.11) solutions to get some properties of the definite integral. Practicing these solutions develops problem-solving skills.
3. Mention few properties of definite integrals are used in NCERT Solutions for class 12 maths chapter 7 Integrals (Ex 7.11) Exercise 7.11?
The following are few properties:
Property 0: $ \int_{a}^{b}f(x)dx = \int_{a}^{b}f(t)dt$
Property 1: $ \int_{a}^{b}f(x)dx = -\int_{b}^{a}f(t)dt$
Property 2: $ \int_{a}^{b}f(x)dx = \int_{a}^{c}f(x)dx + \int_{c}^{a}f(x)dx$
Property 3: $ \int_{a}^{b}f(x)dx = \int_{a}^{b}f(a + b -x)dx$
Property 4: $ \int_{0}^{a}f(x)dx = \int_{0}^{a}f(a-x)dx$
4. How many questions are there in NCERT Solutions For Class 12 Maths Chapter 7 Integrals (Ex 7.11) Exercise 7.11?
There are 21 questions in Exercise 7.11 of class 12 maths Integral. These questions are related to the properties of definite integral. You will evaluate the given integrals using the pre-defined properties of integrals. There are seven properties of definite integral used in NCERT solutions for class 12 maths chapter 7 integrals (Ex - 7.11) Exercise 7.11.
5. Write about property 4 in NCERT Solutions For Class 12 Maths Chapter 7 Integrals (Ex 7.11) Exercise 7.11.
Property 4: $ \int_{0}^{a}f(x)dx = \int_{0}^{a}f(a-x)dx$
Property 4 is a particular case of property 3. All the above properties have their respective proofs. Property 6 and Property 7 have two results because of the even and odd function. Even functions are those functions for which f(-x) = f(x) and odd functions are those functions for which f(-x) = - f(x).