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Definite Integration question

2021 · 20 Jul · Shift 1 · Q22

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 20 Jul · Shift 1 · Q22

Definite Integration question

2021 · 20 Jul · Shift 1 · Q22

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let a be a positive real number such that

\int_0^a {{e^{x - [x]}}} dx = 10e - 9

where [ x ] is the greatest integer less than or equal to x. Then a is equal to:

A
$10 - {\log _e}(1 + e)$
B
$10 + {\log _e}2$
C
$10 + {\log _e}3$
D
$10 + {\log _e}(1 + e)$

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