Mathematics · Definite Integration
Let a be a positive real number such that ∫0a ex - [x] dx = 10e - 9, where [x] is the greatest integer less than or equal to x. Then, a is equal to:
- 110 + loge(1 + e)
- 210 + loge 3
- 310 + loge 2✓
- 410 - loge(1 + e)
Correct answer
10 + loge 2
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