Calculus-2 : Course in Mathematics for the IIT-JEE and Other Engineering Entrance Examinations

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Cover Contents Preface Part A: Indefinite Integral Lecture 1: Simple Integrals Basic Concepts Definition Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 2: Standard Integral Using Substitution Basic Concepts Standard Integrals Integration by Substitution Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 3: Integration of Algebraic Expressions 1 Basic Concepts Standard Integrals (C.T.M. to Improve Speed With Accuracy) Working Rule to Find Integrals of the form Method of Partial Fractions for Rational Functions Three Important Integrals Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 4: Integration of Algebraic Expressions 2 Basic Concepts Standard Integrals Some Special Integrals Integrals of the Form Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 5: Integration by Parts Basic Concepts Standard Integral Integration by Parts Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 6: Reduction Formulae Basic Concepts Integrals When: (Initial Integrand Reappears After Integrating by Parts) Three Standard Forms of an Integral Some Special Integrals Reduction Formulae of Some Trigonometrical Functions Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Hints and Explanation Lecture 7: Integration of Different Forms Basic Concepts Integrations under Different Form Standard Integrals 5 Integration Under Different form 2 Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 8: Test Your Skills Assertion/Reasoning Assertion and Reasoning Type Questions Assertion/Reasoning: Solutions Mental Preparation Test Topic Wise Warmup Test 1 Topic Wise Warmup Test 2 Topic Wise Warmup Test 1: Solutions Topic Wise Warmup Test 2: Solutions Answers Part B: Definite Integration and Areas Under Curve Lecture 1: Basics of Definite Integral Basic Concepts Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 2: Properties of Definite Integral Basic Concepts Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 3: Some More Properties of Definite Integral Basic Concepts Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 4: Estimation of Integral and other Definite Integrals Basic Concepts Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 5: Definite Integral as a Limit of Sum Basic Concepts Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 6: Area Under Curve 1 Basic Concepts Areas of Bounded Regions Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 7: Area Under Curve 2 Basic Concepts Points to Remember Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 8: Test Your Skills Assertion/Reasoning Assertion/Reasoning: Solutions Mental Preparation Test Topic Wise Warmup Test: 1 Topic Wise Warmup Test: 2 Topic Wise Warmup Test: 3 Topic Wise Warmup Test 1: Solutions Topic Wise Warmup Test 2: Solutions Topic Wise Warmup Test 3: Solutions Question Bank: Solve These to Master Answers Part C: Differential Equations Lecture 1: Order and Degree of the Differential Equation Basic Concepts Definitions Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanation Lecture 2: Solution of a Differential Equation Basic Concepts Solution of Differential Equation Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explations Lecture 3: Various Types of Differential Equations Basic Concepts Linear Differential Equation Bernoulli's Differential Equation Differential Equation of 1st Order and Higher Degree Clairauts Differential Equation Exact Differential Equation Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 4: Solutions of Exact Differential Equations Basic Concepts Rule to Find Integrating Factor Differential Equations of the Form Solution by Inspection Method Solved Subjective Problems (XII Board (C.B.S.E./State)): For Better Understanding and Building of the Topic Unsolved Subjective Problems (XII Board (C.B.S./State)): To Grasp the Topic Solve these Problems Answers Solved Objective Problems: Helping Hand Objective Problems: Important Questions with Solutions Solutions Unsolved Objective Problems (Identical Problems for Practice): For Improving Speed with Accuracy Worksheet: To Check the Preparation Level Answer Sheet Hints and Explanations Lecture 5: Test Your Skills Assertion/Reasoning Assertion/Reasoning: Solutions Mental Prepation Test Topic Wise Warmup Test Topic Wise Warmup Test: Solutions Question Bank: Solve These to Master Answers