JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_{ - 1/7}^{20/7} \,\,{e^{5\left\{ x \right\}}}\,\,dx

is equal to (where

\left\{ {\, \cdot \,} \right\}

denotes fractional part of

x

)

View answer and explanation

Correct option: B

\frac{3}{5}\,\,\left( {{e^5} - 1} \right)

Option B (

\frac{3}{5}\,\,\left( {{e^5} - 1} \right)

) is correct because the integral is evaluated by using the property of fractional part function and then integrating.

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