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 June 21st, 2019, 08:15 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 728 Thanks: 98 Evaluate integral $\displaystyle I(x,y,z)=\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} e^{-x^{2} -y^{2} -z^{2} }dz\; dy \; dx .$ June 21st, 2019, 10:39 AM #2 Senior Member   Joined: Dec 2015 From: somewhere Posts: 728 Thanks: 98 $\displaystyle I(x,y,z)=I(x)\cdot I(y) \cdot I(z)=I^{3}(t)$. $\displaystyle I(x,y,z) =(\int_{-\infty }^{\infty} e^{-t^{2}})^{3}=\pi^{3/2}$. Thanks from topsquark Tags evaluate, integral Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post zaidalyafey Calculus 6 August 26th, 2012 07:46 AM zaidalyafey Calculus 4 August 17th, 2012 10:23 AM lovetolearn Calculus 3 April 14th, 2012 03:47 PM layd33foxx Calculus 5 December 7th, 2011 08:09 AM sivela Calculus 0 January 18th, 2011 04:04 PM

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