anonymous 4 years ago integration of "e" raise to power "x" square

1. anonymous

$\huge \int e^{x^2}dx$ ???

2. anonymous

3. anonymous

yes

4. anonymous

..this isn't solveable by natural means...

5. anonymous

well how do i slove it?

6. anonymous

numerical analysis was the term if i remember it right

7. anonymous

erf...?

8. anonymous

yup. those kinds of functions

9. anonymous

only mathematicians solve this. Because they love solving imaginary problems.

10. anonymous

well i am solving an ode and the question is if the given y satisfies it and it contains.. inte^x^2...

11. anonymous

they give these stuffs in ode now? are you by any chance from a premier university?

12. anonymous

haha well Ph.D.. i have forgotten the basics.. was just revising

13. anonymous
14. anonymous

http://www.wolframalpha.com/input/?i=integrate+e^%28x^2%29 imaginary error function !!

15. anonymous

I am a PhD myself. However, I'm from Liberal Arts...

16. anonymous

@mukushla jinx

17. anonymous

i think @gaurangnaware wants to know how to get that erf function....

18. anonymous

lol Algebraic

19. anonymous

use series

20. anonymous

Thanx Mukushla.. go it!

21. anonymous

no problem :)

22. anonymous

series expantion of ex2 is: $e ^{x ^{2}}=1+\frac{x ^{2}}{1!}+\frac{x ^{4}}{2!}+\frac{x ^{6}}{3!}+....$ this is a uniformly convergent series, so you can integrate it term by term. So just integrate each term to get your answer.

23. anonymous

@gaurangnaware

24. anonymous

@lgbasallote

25. anonymous

or use polar