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how to integrate [log(log x)]

how to integrate [log(log x)]

Grade:12

1 Answers

Abhinav Bhardwaj
18 Points
9 years ago

I = int [log(log x).1]                        

  =      log(log x) int(1)dx - int[d/dx(log(log x)) int(x)dx]dx

  =      log(log x).x - int[1/logx.x  .x]dx

  =      log(log x).x - int[1/logx]dx

  =      log(log x).x - log(log x)
   =      log(log x)[x - 1]                    Answer

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