## Calculus: concepts and contexts : single variable : release 1.1. Chapters 5-8 |

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### Contents

INTEGRALS | 349 |

Focus on Problem Solving | 445 |

Focus on Problem Solving | 505 |

Copyright | |

3 other sections not shown

### Common terms and phrases

Alternating Series Alternating Series Test an+i antiderivative approximating rectangles binomial series calculator center of mass Comparison Test computer algebra system constant continuous function convergent or divergent cross-section decimal places decreasing defined definite integral derivative differential equation direction field distance traveled dx is convergent equilibrium solutions Euler's method evaluate the integral Evaluation Theorem ex dx Exercise exponential Find the area Find the volume formula function f(x Fundamental Theorem geometric series given series height improper integral increasing infinite initial-value problem interval of convergence length limit Maclaurin series Midpoint Rule Newton's Notice parabola partial sums positive power series rabbits radius of convergence Ratio Test region bounded Riemann sum right endpoints Rn(x sample points Section sequence series converges shown in Figure Simpson's Rule sketch solution curve solve subintervals Suppose tank Taylor polynomial Taylor series velocity x-axis