?Show that \(\int_{0}^{\infty} x^{2} e^{-x^{2}} d x=\frac{1}{2} \int_{0}^{\infty}
Chapter 7, Problem 89(choose chapter or problem)
Show that \(\int_{0}^{\infty} x^{2} e^{-x^{2}} d x=\frac{1}{2} \int_{0}^{\infty} e^{-x^{2}} d x\).
Equation Transcription:
Text Transcription:
integral _0 ^infinity x^2e^-x^2 dx=½ integral _0 ^infinity e^-x^2 dx
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