Given for it follows that Perform this integration to derive the inequality for x 0
Chapter 5, Problem 147(choose chapter or problem)
Given \(e^{x} \geq 1\) for \(x \geq 0\), it follows that \(\int_0^x\ e^t\ dt\ \ge\ \int_0^x\ 1\ dt\). Perform this integration to derive the inequality \(e^{x} \geq 1+x\) for \(x \geq 0\).
Text Transcription:
e^x geq 1
x geq 0
int_0 ^x e^t dt geq int_0 ^x 1 dt
e^x geq 1 + x
x geq 0
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