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Beyond Horizon Set 2 Paper 1 · Q16

Paper 1Calculus

Evaluate the following integral

∫0100ex−⌊x⌋ dx\int_0^{100}e^{x-\lfloor x\rfloor}\,dx
Ae100−1100\frac{e^{100}-1}{100}
Be100−1e−1\frac{e^{100}-1}{e-1}
C100(e−1)100(e-1)
De−1100\frac{e-1}{100}
E1−e100\frac{1-e}{100}
Fe100100\frac{e^{100}}{100}

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