anonymous
  • anonymous
plz help me top solve-integrate e^-2(y)^2..limit is 0 to infinity
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
please write it with help of equation button
anonymous
  • anonymous
i just joined the group,donno where it is
anonymous
  • anonymous
there is a button named 'equation' just below the space to type reply

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anonymous
  • anonymous
\[\int\limits_{0}^{\infty} (e ^{-2y ^{2}})dy\]
anonymous
  • anonymous
this is the question
anonymous
  • anonymous
is it some type of error function?
dumbcow
  • dumbcow
yes it is
anonymous
  • anonymous
limit x approaches infinity?
anonymous
  • anonymous
yes
anonymous
  • anonymous
HINT: substitue with x = y^2, replace dy, then use 'integration by parts' the replacement for dy involves an x to the power -1/2, and the squared y terms is eliminated from the e, being replaced by -2x.
anonymous
  • anonymous
NOTE: the limits will stay the same
anonymous
  • anonymous
the answer has \[\Pi\] in the term,integration by parts wont simply solve the problem
dumbcow
  • dumbcow
you can solve it numerically since it is definite integral --> equals approx 0.63
anonymous
  • anonymous
i want to know is it representing any function for which there is direct answer,for example we know the results of beta function without solving it analytically
dumbcow
  • dumbcow
i don't think there is for this integral
anonymous
  • anonymous
this is differential calculus
anonymous
  • anonymous
answer is \[(1\div2)\sqrt{\pi/2}...anybody who knows what function properties \it used??\]
anonymous
  • anonymous
anybody who knows what function properties it used??

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