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  1. Integrals of Rational Functions. 4. Integrals of Logarithmic Functions. 2 ! i ⋅ i ! 5. Integrals of Trig. Functions.

  2. Newton-Cotes Formulas This first category of numerical integration algorithms can be applied either to functions or to discrete data sets.

  3. This is an example of numerical integration. There are many methods of numerical integration but we will study only two: the Trapezium Rule and Simpson’s Rule.

  4. Integration by Substitution Integration By Parts Trigonometric Integrals Trigonometric Substitutions Partial Fraction Decomposition Integrals Involving Quadratic Forms …

  5. Such repeated use of integration by parts is fairly common, but it can be a bit tedious to accomplish, and it is easy to make errors, especially sign errors involving the subtraction in the …

  6. There are two major ways to manipulate integrals (with the hope of making them easier).

  7. Integration is the process of adding up an infinite number of infinitesimally small amounts. By considering what happens as small pieces shrink to nothing (and the number of them rises …