INTEGRATION STRATEGY.

INTEGRATION STRATEGY.

1. Step 1

   • Simplify the integrand if possible

2. Step 2

   • Look for an obvious substitution

3. Step 3

   • Is thIs integrand a rational expression?
     • use partial fraction
   • Is the integrand a polynomial times a trig function, exponential, or logarithm?
     • use integration by parts
   • Is the integrand a product of sin and cos, sec and tan, or csc and cot?
     • use integration identities
   • Does the integrand involve
     • use trigonometric substitution
   • Does the integrand have a quadratic in it?
     • use completing the square

4. Step 4

   • Use multiple technique
     • ask yourselves whether it is possible to use the multiple technique
     • do not get locked with only one step
     • use different technique if you did no managed to get the answer

5. Step 5

   • Try again
     • try to use other methods

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