3_Integration strategy

3_Integration strategy

1. STEP ONE

   • IF IT'S POSSIBLE, SIMPLIFY THE INTEGRAND
     • algebraic manipulation
     • TRIGONOMETRIC IDENTITIES

2. STEP TWO

   • SEARCH FOR AN OBVIOUS SITUATION
     • By using substituition

3. STEP THREE

   • is the integrand a rational expression integrand a polynomial divided by a polynomial?
     • USE PARTIAL FRACTION!
   • is the integrand a polynomial times a trigonometric function exponential or logarithm
     • USE INTEGRATION BY PARTS!
   • is the integrand a product of sin and cos, sec and tan or cot and csc?
     • USE INTEGRATION IDENTITIES!
   • integrand involve
     • • USE TRIGS SUBSTITUTION !
   • integrand hanve quadratic in it?
     • USE COMPLETING THE SQUARE !
       • • • * Note that : y

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