JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int_0^{[x] / 3} \frac{8^x}{2^{[3 x]}} d x

where

[\cdot]

denotes the greatest integer function, is equal to

View answer and explanation

Correct option: D

\frac{[x]}{\ln 8}

The correct answer is D (

\frac{[x]}{\ln 8}

) because after simplifying the integrand and using the properties of the greatest integer function, the integral evaluates to

\frac{[x]}{\ln 8}

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