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2. Calculus - Wikipedia

   en.wikipedia.org/wiki/Calculus

   Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals ", it has two major branches, differential calculus and integral calculus.

3. List of calculus topics - Wikipedia

   en.wikipedia.org/wiki/List_of_calculus_topics

   Trigonometric substitution. Partial fractions in integration. Quadratic integral. Proof that 22/7 exceeds π. Trapezium rule. Integral of the secant function. Integral of secant cubed. Arclength. Solid of revolution.

4. Fundamental theorem of calculus - Wikipedia

   en.wikipedia.org/.../Fundamental_theorem_of_calculus

   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 ...

5. AP Calculus - Wikipedia

   en.wikipedia.org/wiki/AP_Calculus

   Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics... Students who take an AP Calculus course should do so with the intention of placing out of a comparable college calculus course. [1]

6. Lists of integrals - Wikipedia

   en.wikipedia.org/wiki/Lists_of_integrals

   More detail may be found on the following pages for the lists of integrals: Gradshteyn, Ryzhik, Geronimus, Tseytlin, Jeffrey, Zwillinger, and Moll 's (GR) Table of Integrals, Series, and Products contains a large collection of results. An even larger, multivolume table is the Integrals and Series by Prudnikov, Brychkov, and Marichev (with ...

7. List of definite integrals - Wikipedia

   en.wikipedia.org/wiki/List_of_definite_integrals

   e. 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. The fundamental theorem of calculus establishes the relationship between indefinite ...