Flag Integral Calculus> 22 ∫ | log 1010 ​x | dx equals to ½ log 1010 8/e8/e ½ l
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22∫| log10log10​x | dx equals to½tlog108/etlog108/elog108/elog108/etlog102/etlog102/etNone of these

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Technical GURUJI , 6 Years ago
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Mohammed Kasib Siddiqui

Last Activity: 6 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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