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Integral region graphThe shaded region, bounded by the vertical lines t = a, t = b, the t-axis, and the graph of f, is denoted by a bf(t)dt. Finding the areas of irregular regions was one of the motivations for the discovery of the calculus.

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Los Angeles Police Department wanted flyer on Elizabeth Short, aka the "Black Dahlia," who was brutally murdered in January 1947. The FBI supported the Los Angeles Police Department in the case, including by identifying Short through her fingerprints that

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Title: Senate Square, St. Petersburg, December 14, 1825: repression of the troop mutiny - watercolor by Carl Ivanovitch Kollman, 1825 depicts Decembrist uprising clashing with cavalry, with spectators watching. (new style December 26, 1825) Europe. Saint

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A Factory Interior, watercolor, pen and gray ink, graphite, and white goache on wove paper by unknown artist, c. 1871-91; in the Yale Center for British Art. Industrial Revolution England

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An ancient egyptian hieroglyphic painted carving showing the falcon headed god Horus seated on a throne and holding a golden fly whisk. Before him are the Pharoah Seti and the goddess Isis. Interior wall of the temple to Osiris at Abydos, Egypt.

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Mayer Amschel Rothschild (1744-1855), founder of the house of Rothschild; lithograph by Friedrich Lieder, c. 1830.

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Leonardo da Vinci (1452-1519), Italian Renaissance painter from Florence. Engraving by Cosomo Colombini (d. 1812) after a Leonardo self portrait. Ca. 1500.

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Santa Claus flying in his sleigh, christmas, reindeer

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Photos

Integral region graphThe shaded region, bounded by the vertical lines t = a, t = b, the t-axis, and the graph of f, is denoted by a bf(t)dt. Finding the areas of irregular regions was one of the motivations for the discovery of the calculus.

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Topics

Lebesgue integral multiple integral line integral indefinite integral definite integral elliptic integral planimeter surface integral Green’s theorem Stokes’s theorem foundations of mathematics probability and statistics numerals and numeral systems matrix function fractal graph derivative algorithm vector