Mathematics · Definite Integration
If ∫0100π sin2(x)e⌊x/π⌋ dx = απ2, where ⌊x⌋ represents the greatest integer function, then the value of α is:
- 1200(1 - e-1)
- 250(e - 1)
- 3100(1 - e-1)
- 41 - e-100✓
Correct answer
1 - e-100
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