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anonymous

  • 4 years ago

plz help me top solve-integrate e^-2(y)^2..limit is 0 to infinity

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  1. anonymous
    • 4 years ago
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    please write it with help of equation button

  2. anonymous
    • 4 years ago
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    i just joined the group,donno where it is

  3. anonymous
    • 4 years ago
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    there is a button named 'equation' just below the space to type reply

  4. anonymous
    • 4 years ago
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    \[\int\limits_{0}^{\infty} (e ^{-2y ^{2}})dy\]

  5. anonymous
    • 4 years ago
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    this is the question

  6. anonymous
    • 4 years ago
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    is it some type of error function?

  7. dumbcow
    • 4 years ago
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    yes it is

  8. anonymous
    • 4 years ago
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    limit x approaches infinity?

  9. anonymous
    • 4 years ago
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    yes

  10. anonymous
    • 4 years ago
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    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.

  11. anonymous
    • 4 years ago
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    NOTE: the limits will stay the same

  12. anonymous
    • 4 years ago
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    the answer has \[\Pi\] in the term,integration by parts wont simply solve the problem

  13. dumbcow
    • 4 years ago
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    you can solve it numerically since it is definite integral --> equals approx 0.63

  14. anonymous
    • 4 years ago
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    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

  15. dumbcow
    • 4 years ago
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    i don't think there is for this integral

  16. anonymous
    • 4 years ago
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    this is differential calculus

  17. anonymous
    • 4 years ago
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    answer is \[(1\div2)\sqrt{\pi/2}...anybody who knows what function properties \it used??\]

  18. anonymous
    • 4 years ago
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    anybody who knows what function properties it used??

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spraguer (Moderator)
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