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Using trig substitution or partial fractions?

  1. May 12, 2014 #1
    When would you use trig substitution vs. partial fractions? I know partial fractions is when you have a polynomial over a polynomial, but some of the problems in the trig substitution section in my book had polynomial over polynomial and used trig substitution?
     
  2. jcsd
  3. May 12, 2014 #2
    A good general rule is that any time you see the sum or difference of 2 squares you should think trig substitution. The sum or difference of 2 squares looks like the Pythagorean theorem so you have a right triangle. Label an angle and express all terms as trigonometric functions of that angle. There certainly are multiple methods for many integrations.
     
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