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INTRODUCTION
Exercises in Introduction to Calculus
Hisashi Yokota
Calculus1
INTRODUCTION
NUMBERS
FUNCTIONS
Definition of function
1.1 Answers
elementary functions
1.2 Answers
Limit of function
1.3 Answers
Right-hand limit, Left-hand limit
1.4 Answers
Continuous functions
1.5 Answers
Sequences
1.6 Answers
Euler e
1.7 Answers
Definition of transcendental functions
1.8 Answers
*Continuum)
1.9 Answers
DEFFERENTIATION
Derivatives)
2.1 Answers
Calculation of derivatives
2.2.1 Answers
2.2.2 Answers
Higher-order derivatives
2.3 Answers
Mean-value theorem
2.4 Answers
Properties of functions
2.5 Answers
Curve sketching)
2.6 Answers
Limit of indeterminate forms
2.7 Answers
Taylor's theorem
2.8 Answers
INTEGRATION
Indefinite integrals
3.1 Answers
Integration by substitution
3.2 Answers
Integration by parts
3.3 Answers
Iintegration of rational functions
3.4 Answers
Integration of trigonometric functions
3.5 Answers
Integration of irrational functions
3.6 Answers
Definite integral
3.7 Answers
Evaluation of definite integrals
3.8 Answers
Extension of definite integrals
3.9 Answers
Applications of definite integral
3.10 Answers
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