Mathematics

Mathematics

Problem

A continuous function hh satisfies ∫02h(x) dx=4\int_{0}^{2} h(x)\,dx = 4. Consider the three definite integrals I. ∫02h(x) dx\displaystyle \int_{0}^{2} h(x)\,dx II. ∫02(h(x)+5) dx\displaystyle \int_{0}^{2} \bigl(h(x)+5\bigr)\,dx III. ∫022h(x) dx\displaystyle \int_{0}^{2} 2h(x)\,dx Which listing orders the three integrals from least to greatest? a) I < II < III b) II < I < III c) I < III < II d) III < I < II

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