Integral of x^2e^-x^2 from negative infinity to infinity 💪

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Integrate x^2e^x^2 from 0 to infinity. The answer is sqrt(π)/2. This function is also expressed as x^2e^(x^2). This is a Gaussian function that is common in calculus, physics, and chemistry.

I got tons of modifications of this type of integral. Check them out in my integrals playlist!
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You saved me bro! Greetings from Mexico.

sergiocortes
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Thank you, this saved my homework!
~physics major in USA

nynyserket
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hello! what if we take u=x^2? why do we get answer 2 time smaller?

ChanawerebiChanawerebi
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0:16 this is the moment i knew, im dumb

atalaiaestelar
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the integral that you said you did in your other video at 3:32 is actually root pi/2 not root this makes the integral in this problem equal to root pi/4 instead of root pi /2

MATHBOSS
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If we use gamma function it will be more east, I guess

rakeshranjanpatgiri
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What is the value of ssme limits but e^-2|x|

rizwanapatel
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My brother you saved my ass, have due in less than 5 hours

MatiasAchour
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The subtitle is interfering with the actual solution which is bad

jibrinahmad