## Calculus of elementary functions: Student text, Volumes 3-4 |

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### Contents

AREA AND THE INTEGRAL | 545 |

7U Calculating Areas | 590 |

DIFFERENTIATION THEORY AND TECHNIQUE | 629 |

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5 other sections not shown

### Common terms and phrases

antiderivative arcsin arctan area function calculate chain rule continuous function Corollary decimal differentiable disc domain of f equation estimate Evaluate Example Exercises expression f and g f is continuous f is integrable Find the area formula function f Fundamental Theorem given graph of f hence Hint inequality initial value problem Intermediate Value Theorem interval a,b inverse Lemma lim f(x limit linear loge lower sums mathematical induction Mean Value Theorem method natural number nonnegative notation obtain partition positive integer positive number proof properties Prove rational function rational number real number region bounded result Riemann sums Rolle's Theorem Section Separation Axiom shaded region Show Simpson's Rule Sketch solid of revolution solution strictly increasing subinterval substitution Suppose f Taylor approximation Theorem 8-2b Theorem of Calculus tion upper and lower upper bound upper sum value of f velocity vertical lines x-axis zero