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Integral calculus

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Integral calculus

  1. Integration is a fundamental concept of calculus and mathematical analysis. Basically, a Integral is a generalization of the sum of infinite summands, infinitely small.

    • Integrals By Parts
      • Integrals By Substitution Or Variable Change
        • The method of integration by substitution or change of variable is based on The derivative of the composite function. Integral by substitution For Change of variable we identify a part of what is going to integrate With a new variable t, so that a more complete integral is obtained simple.
      • Trigonometric Substitutions
        • This Case, Which Is A Special Case Of Variable, it will allow us to integrate a certain type of functions Algebraic Defined Integrals are Functions Trogonometric
          • Partial fractions
            • It is said that a rational function P (x) Q (x) is a proper fraction, if the degree of the polynomial P (x) is Less than the degree of the polynomial Q (x). If not, that is, if the degree of P (x) is greater or Equal to that of Q (x), the fraction is called improper. Any improper fraction can be expressed by Division, as the sum of a polynomial plus a fraction of its own.
      • The piecewise integration method allows the Of a product of two functions by applying the Formula: formula of integral by parts Functions Logarithms, "arcs" and polynomials are chosen as u. The Exponential and trígonometric functions of the sine and Cosine, are chosen as v '.

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Mind Map on Integral calculus, created by luis agamez on 03/05/2017.
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