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