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

Question

anonymous · Answer

please write it with help of equation button

anonymous · Answer

i just joined the group,donno where it is

anonymous · Answer

there is a button named 'equation' just below the space to type reply

anonymous · Answer

$$\int\limits_{0}^{\infty} (e ^{-2y ^{2}})dy$$

anonymous · Answer

this is the question

anonymous · Answer

is it some type of error function?

dumbcow · Answer

yes it is

anonymous · Answer

limit x approaches infinity?

anonymous · Answer

yes

anonymous · Answer

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 · Answer

NOTE: the limits will stay the same

anonymous · Answer

the answer has $$\Pi$$ in the term,integration by parts wont simply solve the problem

dumbcow · Answer

you can solve it numerically since it is definite integral
--> equals approx 0.63

anonymous · Answer

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 · Answer

i don't think there is for this integral

anonymous · Answer

this is differential calculus

anonymous · Answer

answer is $$(1\div2)\sqrt{\pi/2}...anybody who knows what function properties \it used??$$

anonymous · Answer

anybody who knows what function properties it used??