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Beyond Horizon Set 1 Paper 2 · Q14

Paper 2Calculus

Evaluate the integral:

∫−0.52.52⌊x⌋ dx\int_{-0.5}^{2.5}2^{\lfloor x\rfloor}\,dx

where ⌊x⌋\lfloor x\rfloor is the floor of xx.

A55
B134\frac{13}{4}
C14\frac14
D152\frac{15}{2}
E214\frac{21}{4}

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