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  2. AP Calculus - Wikipedia

    en.wikipedia.org/wiki/AP_Calculus

    AP Calculus AB covers basic introductions to limits, derivatives, and integrals. AP Calculus BC covers all AP Calculus AB topics plus additional topics (including integration by parts, Taylor series, parametric equations, vector calculus, and polar coordinate functions).

  3. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    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 integral sign; Trigonometric substitution; Partial fractions in integration. Quadratic integral; Proof that 22/7 exceeds π; Trapezium rule ...

  4. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    Proof without words of the arithmetic progression formulas using a rotated copy of the blocks.. An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.

  5. Glossary of calculus - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_calculus

    This formula summarizes the intuitive idea that the derivative of y with respect to x is the limit of the ratio of differences Δy/Δx as Δx becomes infinitesimal. differential calculus Is a subfield of calculus [30] concerned with the study of the rates at which quantities change.

  6. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is also used to find approximate solutions to equations; in practice, it is the standard way to solve differential equations and do root finding in most applications. Examples are methods such as Newton's method , fixed point iteration , and linear approximation .

  7. Integration by parts - Wikipedia

    en.wikipedia.org/wiki/Integration_by_parts

    In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an ...