Author name: Ankur Negi

Properties of Definite Integrals

Description:In this post, we discuss some important properties of definite integrals which simplify calculations and make evaluation easier. These properties are frequently used in NCERT Class 12 Mathematics and are very useful for solving integration problems in board exams and competitive exams like JEE. Introduction The definite integral not only represents the area under a

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Class 12 NCERT Maths – Chapter 7, Exercise 7.6 Solutions (Integrals by parts)

Question 1: Integrate Solution: Take     Differentiate :  Integrate :  By parts formula: Substitute values: Final Answer: Question 2: Integrate Solution: Take     Differentiate :  Integrate :  By parts formula: Substitute values: Final Answer: Question 3: Integrate Solution: Take     Differentiate :  Integrate :  By parts formula: Substitute values: Now, solve using by parts again:

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