Master Definite Integrals: Comprehensive Course for Class 12 & JEE Aspirants

Unlock the world of definite integrals with our exhaustive course tailored for Class 12 and JEE aspirants. This course offers a deep dive into the concepts of definite integrals, their properties, and various solving techniques, aligning with NCERT Class 12 syllabus and JEE requirements.
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Last Updated:December 28, 2023
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About Course

Embark on a journey to master definite integrals, a crucial component of Class 12 Maths and JEE syllabus, with our specially designed course. This 8 hour 31 minute intensive program is meticulously structured to provide a thorough understanding of what a definite integral is and its significant role in mathematics.

Our course begins with a fundamental exploration of definite integrals, offering clear explanations of the definite integral formula and various definite integral rules. We delve into the properties of definite integrals, ensuring students grasp these critical concepts, which are pivotal for the Class 12 board exams and JEE.

As the course progresses, students will learn how to calculate definite integrals using different methods such as standard formulas, substitution, integration by parts, and partial fractions. Each lecture is tailored to simplify complex concepts, making them accessible and easy to understand.

Key highlights of the course include:

  • Detailed explanation of properties of definite integrals class 12, aligning with the NCERT syllabus.
  • Step-by-step guidance on solving definite integrals using various techniques.
  • Insights into the application of integrals class 12, showcasing their relevance in real-world scenarios.
  • Comprehensive coverage of integrals class 12 NCERT solutions, aiding in thorough preparation for board exams.
  • Problem-solving sessions focusing on the application of properties of definite integrals, enhancing analytical skills.

This course is not just about theory; it’s about applying knowledge to solve complex problems. By the end of this course, students will have a solid grasp of definite integrals, equipping them for success in their Class 12 exams and paving the way for their JEE preparation.

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What I will learn?

  • Comprehensive understanding of what is a definite integral and its importance in mathematics.
  • Mastery over the properties of definite integrals and their application in problem-solving.
  • Techniques for evaluating definite integrals using standard formulas and substitution methods.
  • Skills in solving definite integrals by parts and partial fractions.
  • Expertise in integrals class 12 NCERT solutions, ensuring thorough exam preparation.
  • Practical knowledge in applying integrals in various real-life scenarios, enhancing analytical thinking.

Course Curriculum

Evaluation Based on Standard Formulas
Evaluation Based on Standard Formulas is a crucial lesson for understanding how to apply standardized mathematical formulas in problem-solving. This lesson is key to mastering techniques for efficiently evaluating expressions, a skill essential in CBSE, ICSE, and JEE mathematics syllabus.

  • Evaluation Based on Standard Formulas
    01:03:28

Evaluation By Substitution
Evaluation by Substitution guides students through the process of replacing variables with given values in algebraic expressions. This fundamental technique is vital for solving a wide range of problems in the CBSE and ICSE curricula, laying a strong foundation for higher mathematical concepts.

Evaluation By Parts & Partial Fractions
The "Evaluation by Parts & Partial Fractions" lesson dives into advanced integration techniques. It covers the method of integration by parts and the decomposition of rational functions into partial fractions, essential for CBSE, ICSE, and JEE aspirants to solve complex calculus problems efficiently.

Properties Of Definite Integrals
Properties of Definite Integrals focuses on exploring the fundamental characteristics and rules of definite integrals, essential for students preparing for CBSE, ICSE, and JEE exams. This lesson aids in simplifying complex integration problems and forms a critical part of advanced calculus studies.

Problems Based on Properties Of Definite Integrals
In this session, we dive into solving Problems Based on the Properties of Definite Integrals. We'll tackle a variety of problems that demonstrate the practical application of these properties. This hands-on approach is designed to reinforce your understanding and enhance your problem-solving skills in calculus.

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Requirements

  • Basic understanding of Class 11 Maths concepts.
  • Familiarity with integral calculus fundamentals.
  • Willingness to learn and apply mathematical concepts.
  • Access to NCERT Class 12 Maths textbook for reference.
  • Enthusiasm for solving complex mathematical problems.

Instructor

Tarique Anwar
Tarique Anwar
Mathematics Instructor
Free
Free access this course

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