Let a be a positive real... | Definite Integrals JEE Main 2021

JEE MAIN 2021

20-07-2021 S1

Question

Let a be a positive real number such that $\int_0^a e^{x-[x]} d x=10 e-9$ where $[x]$ is the greatest integer less than or equal to x . Then a is equal to :

Select the correct option:

$10-\log _e(1+e)$

$10+\log _{\mathrm{e}} 2$

$10+\log _e 3$

$10+\log _e(1+e)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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