CH # 3 INTEGRATION || DEFINITE INTEGRAL || EX # 3.6||Q # 21- 30||F.SC MATHS PART-2, CLASS 12TH MATH

CHAPTER # 3 INTEGRATION || CLASS 12 MATHEMATICS|| INTEGRAL CALCULUS. LECTURE # 32 || EXERCISE # 3.6|| QUESTION # 21 TO 30 || F.SC/ I.C.S/ G.SC MATHS PART-II TOPIC : DEFINITE INTEGRAL. BOOK : CALCULUS AND ANALYTIC GEOMETRY ------------------------------------------------------------------------------------------------------------------------------------------------------ TO WATCH COMPLETE PLAY LIST OF CHAPTER # 3 INTEGRATION CLICK ON LINK BELOW.    • CHAPTER#3 INTEGRATION. 2ND YEAR MATHS   ------------------------------------------------------------------------------------------------------------------------------------------------------- TO WATCH COMPLETE PLAY LIST OF CHAPTER # 1 FUNCTIONS AND LIMITS CLICK ON LINK BELOW    • CHAPTER#1 FUNCTIONS AND LIMITS 2ND YE...   ------------------------------------------------------------------------------------------------------------------------------------------------------- TO WATCH COMPLET PALY LIST OF CHAPTER # 2 DIFFERENTIATION CLICK ON LINK BELOW    • CHAPTER#2 DIFFERENTIATION. 2ND YEAR M...   ------------------------------------------------------------------------------------------------------------------------------------------------------- TO WATCH COMPLETE PLAY LIST OF CHAPTER # 7 VECTORS CLICK ON LINK BELOW.    • CHAPTER#7 VECTORS 2ND YEAR MATHS.   ------------------------------------------------------------------------------------------------------------------------------------------------------- CHAPTER # 3 INTEGRATION CONTENTS ARE In this playlist you can find the following contents 1. Difference between differential of y and delta y. 2. Antidifferentiation and integration. 3. Primitive and indefinite integral. 4. Formulas of integration. 5. Rules of integration. 6. Integration by substitution. 7. Integration by parts. 8. Integration by partial fraction. 9. Definite integral 10. Properties of definite integral 11. Area under the curves 12. Differential equation 13. Solution of differential equation 14. Particular and general solution of differential equation. 15. Order and degree of differential equation. ------------------------------------------------------------------------------------------------------------------------------------------------------- Integration by partial fraction is a powerful technique used in calculus to integrate rational functions that cannot be easily integrated by other methods. This technique involves breaking down a rational function into simpler fractions whose integrals can be found more easily. To perform integration by partial fraction, the rational function is first factored into its irreducible factors, which are then used to form partial fraction decompositions. These decompositions consist of simpler fractions with constant numerators and linear or quadratic denominators. The coefficients of these decompositions are then found by comparing the coefficients of the original rational function. Once the partial fraction decompositions are obtained, the integrals of each simpler fraction can be found using standard integration techniques such as substitution or partial integration. The final result is the sum of the integrals of all the partial fraction decompositions. Integration by partial fraction is a fundamental tool in calculus and is commonly used in applications such as signal processing, control theory, and Laplace transforms. Understanding this technique is essential for anyone studying or working in these fields, as well as for anyone interested in advanced calculus. ------------------------------------------------------------------------------------------------------------------------------------------------------- Share, Support, Subscribe!!! About: Maths 4 U is a You Tube Channel, where you can learn Mathematics in very simple way. In this channel you can find Mathematics Videos for Intermediate and B.S Mathematics ,and videos for Entrance Exams like as ECAT, CSIR, GATE, NET, JEE MAIN & JEE ADVANCED etc, Challenging Math's Problems. Further you can find MATHS videos for the preparation of COMPETITIVE EXAMS like as CSS, PMS and PPSC. #Maths4U. #PROFESSORAZMATALI. #integration #definiteintegrals