Top 5 Videos on Integrals for Class 12 Applied Mathematics by PW

Integrals require you to recognise the right method before solving a question. You may know the standard formulas but still struggle to decide when to use substitution, partial fractions or integration by parts. Definite integrals and application-based questions add further steps that require careful practice.

PW offers videos on PW Class 12 Commerce Wallah for different stages of your preparation, from learning the basic rules to revising multiple methods and solving board-level questions. These five lessons cover chapter explanations, Applied Mathematics applications, NCERT exercises and previous-year questions. 

You can choose a video based on whether you are learning Integrals for the first time or revising before your Class 12 board exams.

Video 1: Integrals Basics for Beginners with Practice Questions

If you are new to Integrals, this Class 12 Applied Maths lesson introduces the topic through a revision of derivatives and the idea of integration as an antiderivative. It explains the constant of integration, basic power rules, fractional powers, direct integration and exponential functions.

Multiple-choice questions and live polls provide opportunities to test your understanding as the lesson progresses.

Start with this video if you need to strengthen your understanding of the basic rules before moving to more advanced methods. Try solving each practice question before checking the answer. Once you are comfortable with the standard forms, you can move on to substitution, partial fractions and integration by parts with a stronger foundation.

Video 2: Integration Part One with NCERT Exercises and Previous-Year Questions

This lesson revises Integration through basic antiderivatives, standard results, linearity, substitution and special forms. It uses NCERT exercises and previous-year questions to demonstrate how these concepts apply to board-level problems.

A concluding summary revisits the key takeaways, giving you a chance to review the methods covered in the session.

Use this video when you want to practise standard integration methods through textbook and exam-style questions. Attempt each question independently before following the solution, and keep a record of formulas or steps you often forget. This approach can help you identify gaps in your preparation and improve accuracy as you revise the chapter.

Video 3. Integrals One-Shot for Complete Chapter Revision

This one-shot lesson covers the Integrals chapter, including indefinite and definite integration, substitution, trigonometric forms, partial fractions and integration by parts.

It also discusses special cases, properties of definite integrals, selected formulas, NCERT exercises, previous-year questions and exam-focused shortcuts. The broad coverage makes it useful when you need to revise several integration methods in one session.

Use this video after studying the chapter or during your final revision. As you watch, note the forms of integrals associated with different methods and practise the examples yourself. This can help you recognise familiar question patterns and select an appropriate method when solving board-level problems.

Video 4: Integrals, Applications of Integrals and Differential Equations for Board Revision

This session connects three Class 12 Maths units: Integrals, Applications of Integrals and Differential Equations. The Integrals portion revises formulas, substitution, partial fractions, long division, improper fractions and linear-over-quadratic forms. 

The wider lesson also covers graphs, areas under curves, areas between lines and curves, and different types of differential equations. NCERT questions, Class 12 previous-year questions and expected board questions form part of the revision.

Choose this video if you want to revise related chapters together instead of focusing only on Integrals. It can help you organise your revision across these units and practise different question types in one session. Make sure you spend additional time on any integration method that you still find difficult.

Video 5: Applied Mathematics Integrals One-Shot with Commerce Applications

This lesson focuses on Integrals in Class 12 Applied Mathematics. It covers basic integration results, splitting terms, linear rules, substitution, partial fractions, integration by parts and special forms. The session also discusses logarithmic expressions, linear and quadratic denominator cases, definite and indefinite integrals, and consumer and producer surplus. The recap brings the methods together for CBSE and board exam preparation.

This video is useful if you have already learnt the basic rules and want to revise different methods alongside their applications. Pay attention to how the integration process changes with the form of the expression. Revisiting consumer and producer surplus can also help you connect integration techniques with the commerce-related applications included in Applied Mathematics.

Watching the videos is only one part of preparation. Practise questions after each lesson, revise standard formulas regularly and revisit methods you find difficult. This will help you apply integration rules more confidently during your Class 12 Applied Mathematics board exam.