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2 ∫ | log 10 ​x | dx equals to ½ log 10 (8/e) ½ log 10 (8/e) log 10 (2/e) None of these

  2
  ∫   | log10​x | dx equals to
½
  1. log10(8/e)
  2. ½ log10(8/e)
  3. log10(2/e)
  4. None of these

Grade:

1 Answers

Mohammed Kasib Siddiqui
119 Points
2 years ago
Ans is option b
Explanation-
First check on which point is the fumction log x is 0
It will come as 1 . Hence at 1 the function is discontinuous and the imtegral will break im twoo parts-
1) solve the function with limit from 1/2 to 1 . Also whithin this range mod is negative so multiply -1 amd open the mod and solve.
2) solve the function with limit from 1 to 2 . The function is positive in this range so remove the mod and write the function as it is and solve the integral.
Now combine the answeres of 1 an 2 an rearrange using log properties. The answer will come as option b.
 
Sorry for any grammatical mistake

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