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  2. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation , and can loosely be thought of as using the chain rule "backwards."

  3. Change of variables - Wikipedia

    en.wikipedia.org/wiki/Change_of_variables

    The intent is that when expressed in new variables, the problem may become simpler, or equivalent to a better understood problem. Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering differentiation or integration (integration by substitution). A very simple ...

  4. Tangent half-angle substitution - Wikipedia

    en.wikipedia.org/.../Tangent_half-angle_substitution

    The substitution is described in most integral calculus textbooks since the late 19th century, usually without any special name. [5] It is known in Russia as the universal trigonometric substitution, [6] and also known by variant names such as half-tangent substitution or half-angle substitution.

  5. Limits of integration - Wikipedia

    en.wikipedia.org/wiki/Limits_of_integration

    In Integration by substitution, the limits of integration will change due to the new function being integrated. With the function that is being derived, a {\displaystyle a} and b {\displaystyle b} are solved for f ( u ) {\displaystyle f(u)} .

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    The AOL.com video experience serves up the best video content from AOL and around the web, curating informative and entertaining snackable videos.

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    A major rockslide prompted two highways to be shut down in Colorado over the weekend and witnesses captured the frightening moment on video. Highways 96 and 165 from Wetmore to Westcliffe in ...

  8. Multiple integral - Wikipedia

    en.wikipedia.org/wiki/Multiple_integral

    Just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis, the double integral of a positive function of two variables represents the volume of the region between the surface defined by the function (on the three-dimensional Cartesian plane where z = f(x, y)) and the plane which contains its domain. [1]

  9. Parents charged with abuse after child's botched circumcision ...

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    A couple has been arrested after authorities say they performed a botched circumcision on their son at their central Missouri home last week.. Prosecutors charged Tyler Wade Gibson, 35, with one ...

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