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  2. Fundamental theorem of calculus - Wikipedia

    en.wikipedia.org/.../Fundamental_theorem_of_calculus

    The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations can be ...

  3. Category:Theorems in calculus - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_calculus

    Download as PDF; Printable version; ... Bioche's rules; C. ... Fubini's theorem; Fundamental theorem of calculus; G. General Leibniz rule;

  4. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    These rules are given in many books, both on elementary and advanced calculus, in pure and applied mathematics. Those in this article (in addition to the above references) can be found in: Mathematical Handbook of Formulas and Tables (3rd edition), S. Lipschutz, M.R. Spiegel, J. Liu, Schaum's Outline Series, 2009, ISBN 978-0-07-154855-7.

  5. List of theorems called fundamental - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems_called...

    For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus. [1] The names are mostly traditional, so that for example the fundamental theorem of arithmetic is basic to what would now be called number theory . [ 2 ]

  6. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Simplest rules Sum rule in integration; Constant factor rule in integration; Linearity of integration; Arbitrary constant of integration; Cavalieri's quadrature formula; Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the ...

  7. Glossary of calculus - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_calculus

    The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function. The first part of the theorem, sometimes called the first fundamental theorem of calculus , states that one of the antiderivatives (also called indefinite integral ), say F , of some function f may be ...

  8. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    This is known as the squeeze theorem. [ 1 ] [ 2 ] This applies even in the cases that f ( x ) and g ( x ) take on different values at c , or are discontinuous at c . Polynomials and functions of the form x a

  9. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Fundamental theorem of algebra (complex analysis) Fundamental theorem of arbitrage-free pricing (financial mathematics) Fundamental theorem of arithmetic (number theory) Fundamental theorem of calculus ; Fundamental theorem on homomorphisms (abstract algebra) Fundamental theorems of welfare economics ; Furry's theorem (quantum field theory)