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  2. Disc integration - Wikipedia

    en.wikipedia.org/wiki/Disc_integration

    Disc integration, also known in integral calculus as the disc method, is a method for calculating the volume of a solid of revolution of a solid-state material when integrating along an axis "parallel" to the axis of revolution. This method models the resulting three-dimensional shape as a stack of an infinite number of discs of varying radius ...

  3. Shell integration - Wikipedia

    en.wikipedia.org/wiki/Shell_integration

    The shell method goes as follows: Consider a volume in three dimensions obtained by rotating a cross-section in the xy-plane around the y-axis. Suppose the cross-section is defined by the graph of the positive function f(x) on the interval [a, b]. Then the formula for the volume will be: ()

  4. Washer - Wikipedia

    en.wikipedia.org/wiki/Washer

    Washing machine, for cleaning clothes; Washer may also refer to: Dishwasher, a machine for cleaning dishware, cookware and cutlery; Dishwasher (occupation), a person who cleans dishware, cookware and cutlery; Washer, a person with obsessive-compulsive disorder who washes her/his hands compulsively; Washer method, a mathematical formula for ...

  5. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    One may view the method of integration by substitution as a partial justification of Leibniz's notation for integrals and derivatives. The formula is used to transform one integral into another integral that is easier to compute. Thus, the formula can be read from left to right or from right to left in order to simplify a given integral.

  6. Belleville washer - Wikipedia

    en.wikipedia.org/wiki/Belleville_washer

    A Belleville washer is a type of spring shaped like a washer. It is the shape, a cone frustum , that gives the washer its characteristic spring. The "Belleville" name comes from the inventor Julien Belleville who in Dunkerque , France, in 1867 patented a spring design which already contained the principle of the disc spring.

  7. Euler–Maclaurin formula - Wikipedia

    en.wikipedia.org/wiki/Euler–Maclaurin_formula

    In mathematics, the Euler–Maclaurin formula is a formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus .

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  9. Trapezoidal rule - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule

    A 2016 Science paper reports that the trapezoid rule was in use in Babylon before 50 BCE for integrating the velocity of Jupiter along the ecliptic. [1]In 1994, a paper titled "A Mathematical Model for the Determination of Total Area Under Glucose Tolerance and Other Metabolic Curves" was published, only to be met with widespread criticism for rediscovering the Trapezoidal Rule and coining it ...