Let a be a positive real number such that ∫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:

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Morning shift · Q3405

JEE Main 202120 Jul, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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:

JEE Main 2021 · 20 Jul, Morning shift · Q3405

JEE Main 202120 Jul, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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: