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Mathematics LibreTexts

2: Techniques of Integration

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  • 2.1: Substitution
  • 2.2: Trigonometric Substitution
    When we have integrals that involve the square root term  a2+x2
      we may be able to trigonometric substitution to solve the integral.
  • 2.3: Powers of Trig Functions
  • 2.4: Integration by Parts
    Integration by parts is a technique of integration applicable to integrands consisting of a product that cannot be rewritten as one or more easily integrated terms — at least, not without difficulty. The technique is particularly useful in cases containing a product of algebraic and transcendental factors.
  • 2.5: Partial Fractions
    The fundamental theorem of algebra states that if P(x) is a polynomial of degree n then P(x) can be factored into linear factors over the complex numbers. Furthermore, P(x) can be factored over the real numbers as a product of linear and quadratic terms.


2: Techniques of Integration is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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