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  2. List of definite integrals - Wikipedia

    en.wikipedia.org/wiki/List_of_definite_integrals

    In mathematics, the definite integral ()is the area of the region in the xy-plane bounded by the graph of f, the x-axis, and the lines x = a and x = b, such that area above the x-axis adds to the total, and that below the x-axis subtracts from the total.

  3. English grammar - Wikipedia

    en.wikipedia.org/wiki/English_grammar

    The first published English grammar was a Pamphlet for Grammar of 1586, written by William Bullokar with the stated goal of demonstrating that English was just as rule-based as Latin. Bullokar's grammar was faithfully modeled on William Lily's Latin grammar, Rudimenta Grammatices (1534), used in English schools at that time, having been ...

  4. Lists of integrals - Wikipedia

    en.wikipedia.org/wiki/Lists_of_integrals

    Integration is the basic operation in integral calculus.While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful.

  5. Integral - Wikipedia

    en.wikipedia.org/wiki/Integral

    Usage of integration expanded to a wide variety of scientific fields thereafter. A definite integral computes the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally, areas above the horizontal axis of the plane are positive while areas below are negative.

  6. Glossary of calculus - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_calculus

    The multiple integral is a definite integral of a function of more than one real variable, for example, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in R 2 are called double integrals, and integrals of a function of three variables over a region of R 3 are called triple integrals. [33]

  7. Leibniz integral rule - Wikipedia

    en.wikipedia.org/wiki/Leibniz_integral_rule

    Suppose a and b are constant, and that f(x) involves a parameter α which is constant in the integration but may vary to form different integrals. Assume that f ( x , α ) is a continuous function of x and α in the compact set {( x , α ) : α 0 ≤ α ≤ α 1 and a ≤ x ≤ b }, and that the partial derivative f α ( x , α ) exists and is ...

  8. Virgin Australia Airline crew allegedly sexually assaulted ...

    www.aol.com/news/airline-crew-reportedly-virgin...

    Virgin Australia crew members were allegedly sexually assaulted and robbed in one of Fiji's nightclub areas on New Year's Day, the island country's Deputy Prime Minister Viliame Gavoka announced.

  9. Longman Grammar of Spoken and Written English - Wikipedia

    en.wikipedia.org/wiki/Longman_Grammar_of_Spoken...

    While targeting "English language students and researchers" (p. 45), an abridged version of the grammar was released in 2002, Longman Student Grammar of Spoken and Written English, together with a workbook entitled Longman Student Grammar of Spoken and Written English Workbook, to be used by students on university and teacher-training courses.

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