## gaurangnaware 3 years ago integration of "e" raise to power "x" square

1. lgbasallote

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

2. lgbasallote

3. gaurangnaware

yes

4. lgbasallote

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

5. gaurangnaware

well how do i slove it?

6. lgbasallote

numerical analysis was the term if i remember it right

7. gaurangnaware

erf...?

8. lgbasallote

yup. those kinds of functions

9. lgbasallote

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

10. gaurangnaware

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

11. lgbasallote

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

12. gaurangnaware

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

13. Algebraic!
14. mukushla

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

15. lgbasallote

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

16. Algebraic!

@mukushla jinx

17. lgbasallote

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

18. mukushla

lol Algebraic

19. myko

use series

20. gaurangnaware

Thanx Mukushla.. go it!

21. mukushla

no problem :)

22. myko

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. myko

@gaurangnaware

24. myko

@lgbasallote

25. heedcom

or use polar