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Integrals of the exponential function
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What is the problem? You are told exactly what to do so do it! You are told that [itex]e^x\ge 1[/itex] for all [itex]x\ge 0[/itex] so
[tex]\int_0^x e^t dt\ge \int_0^x dt[/tex]
What does that give?
[tex]\int_0^x e^t dt\ge \int_0^x dt[/tex]
What does that give?