JEE Math Practice Question
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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