Flag Integral Calculus> 2 ∫ | log 10 ​x | dx equals to ½ log 10 (...
question mark

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

Technical GURUJI , 6 Years ago
Grade
anser 1 Answers
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

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments