Example 14 - Find integral x2 / (x2 + 1) (x2 + 4) dx - Integration by partial fraction - Type 1

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Slide18.JPG

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Example 14 Find 2 2 + 1 2 + 4 Solving Integral Putting 2 = 2 2 + 1 2 + 4 = + 1 + 4 We can write this in form + 1 + 4 = + 1 + + 4 + 1 + 4 = + 1 + + 4 + 1 + 4 By cancelling denominator = +4 + +1 = +4 + +1 Hence we can write + 1 + 4 = 1 3 + 1 + 4 3 + 4 Substituting back = 2 2 2 + 1 2 + 4 = 1 3 2 + 1 + 4 3 2 + 4 Therefore, 2 2 + 1 2 + 4 = 1 3 2 + 1 + 4 3 2 + 4 = 1 3 1 3 2 + 1 + 4 3 1 3 2 + 4 = 1 3 1 3 2 + 1 + 4 3 1 3 2 + 4 = 1 3 1 + 4 3 1 2 1 2 + = + +

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