Integration Strategy

Integration Strategy

1. Step 1

   • Simplify the Integrand if possible

2. Step 2

   • Look for the Substitution

3. Step 3

   • Identify the type of integral
     • Is the integrand a rational expression?
       • Use partial fractions
     • Is the integrand a polynomial times a trigonometric functions, exponential and logarithm?
       • Use integration by parts
     • Is the integrand a products of sines and cosines, tangents and secants, cosecants and cotangents?
       • Use substitutions
     • • -Use trigonometric substitution
     • Does the integrand have a quadratic in it?
       • Use completing the square

4. Step 4

   • Do we need to use multiple techniques?
     • We can relate the problem with the previous problems.
     • We need to ask ourselves if it is possible to use multiple techniques.

5. Step 5

   • Try again.
     • -If everything that you’ve tried to this point doesn’t work then go back through the process and try again.

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