[Solution] Show that the absolute value of the integral ∫_-2pi ^2pi sin ^8(e^x)dx≤ (16π
Question: Show that the absolute value of the integral \(\int\limits_{-2\pi }^{2\pi }{{{\sin }^{8}}\left( {{e}^{x}} \right)dx}\le \frac{16{{\pi }^{3}}}{3}\)
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![[Steps Shown] Let f be defined as](/images/solutions/MC-solution-library-39392.jpg "[Steps Shown] Let f be defined as follows: f(t)=1, for t<0; f(t)=t^2+1,")
[Steps Shown] Let f be defined as follows: f(t)=1, for t<0; f(t)=t^2+1,
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