Mathematics · Definite Integration

Find the value of the integral ∫01000 ex - [x] dx, where [x] denotes the greatest integer function.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1e - 11000
21000(e - 1)✓
3e1000 - 1e - 1
4e1000 - 1

Correct answer

1000(e - 1)

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Find the value of the integral ∫01000 ex - [x] dx, where [x] denotes the greatest integer function.

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