anonymous 4 years ago plz help me top solve-integrate e^-2(y)^2..limit is 0 to infinity

1. anonymous

please write it with help of equation button

2. anonymous

i just joined the group,donno where it is

3. anonymous

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

4. anonymous

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

5. anonymous

this is the question

6. anonymous

is it some type of error function?

7. dumbcow

yes it is

8. anonymous

limit x approaches infinity?

9. anonymous

yes

10. 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.

11. anonymous

NOTE: the limits will stay the same

12. anonymous

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

13. dumbcow

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

14. 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

15. dumbcow

i don't think there is for this integral

16. anonymous

this is differential calculus

17. anonymous

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

18. anonymous

anybody who knows what function properties it used??