## Differential and Integral Calculus |

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### Contents

FUNCTIONS AND THEIR GRAPHS | 1 |

THE LIMIT OF A FUNCTION | 13 |

THE DERIVATIVE | 25 |

Copyright | |

27 other sections not shown

### Common terms and phrases

2x dx angle approach zero approximately area bounded axis centroid CHAPTER circle x2 Compute the area Compute the volume constant convergent series coordinates cos2 cosh curvature defined definition denote distance divergent double integral equal error Example expressed Find the centroid Find the volume formula fraction given graph height hence higher order HINT increasing independent variable infinitesimal of higher inflection point intersect length limit Maclaurin series maximum minimum point multiply natural logarithm obtained ordinates parabola plane positive power series PROBLEMS quantity radius radius of gyration rectangle relation relative error respect right circular cone Rolle's Theorem Show shown in Fig side sin2 sinh Sketch the curve slope solid Solution Fig sphere square student surface tan2 tangent line theorem Theorem of Pappus trigonometric functions velocity x dx x-axis