JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

The value of the integral

\int_1^{{e^6}} {\left[ {\frac{{\log x}}{3}} \right]} \,dx,

where [.] denotes the greatest integer function, is

View answer and explanation

Correct option: B

e^6-e^3

Option B (

e^6-e^3

) is correct because the integral is solved by breaking it into intervals based on the greatest integer function.

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