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Question

0log x1+x2dx=
  1. π4logπ2
  2. Tan1(12)
  3. 0
  4. π4


Solution

The correct option is C 0
I=0log x1+x2dx
I=0log x1+x2dx
Let x=1t
I=0log1t1+1t2(dtt2)
2I=0log x1+x2dx0log t1+t2dt=0
 I=0

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