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Question

(x2+2x+5) dx is equal to
  1. 12(x+1)(x2+2x+5)+2log|x+1+(x2+2x+5)|+C
  2. (x+1)(x2+2x+5)+2log|x+1+(x2+2x+5)|+C
  3. (x+1)(x2+2x+5)2log|x+1+(x2+2x+5)|+C
  4. (x+1)(x2+2x+5)+12log|x+1+(x2+2x+5)|+C
     


Solution

The correct option is A 12(x+1)(x2+2x+5)+2log|x+1+(x2+2x+5)|+C
x2+a2dx = x(x2+a2)2+a22log|x+x2+a2|
(x2+2x+5) dx = (x+1)2+22 dx
(x2+2x+5) dx = 12(x+1)(x2+2x+5)                                              +2log|x+1+(x2+2x+5)|+C
 

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