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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🧮 Practice Sheet Level 2: Algebra (Based on Class 9 Concepts)

Solve the following questions. The questions are designed to test your conceptual understanding of algebra at a Class 9 level. This sheet includes evaluation, factorization, simplification, and solving equations. 📘 Section A: Evaluate the Expression Q1. Evaluate: Q2. Evaluate: Q3. Evaluate: Q4. Evaluate: Q5. Evaluate: Q6. Evaluate: Q7. Evaluate: Q8. Evaluate: Q9. Evaluate: Q10. Evaluate:

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🧮 Practice Sheet Level 1: Algebra (Based on Class 6 to 8 Concepts)

Solve the following questions. Show all necessary steps. Focus on evaluating, simplifying, and solving algebraic expressions and equations. 📘 Section A: Evaluate the Expression Q1. Evaluate: when Q2. Evaluate: when Q3. Evaluate: when Q4. Evaluate: when Q5. Evaluate: when Q6. Evaluate: when Q7. Evaluate: when Q8. Evaluate: when Q9. Evaluate: when Q10. Evaluate: when 📗

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