gaurangnaware
integration of "e" raise to power "x" square
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lgbasallote
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\[\huge \int e^{x^2}dx\]
???
lgbasallote
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is that your question?
gaurangnaware
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yes
lgbasallote
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..this isn't solveable by natural means...
gaurangnaware
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well how do i slove it?
lgbasallote
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numerical analysis was the term if i remember it right
gaurangnaware
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erf...?
lgbasallote
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yup. those kinds of functions
lgbasallote
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only mathematicians solve this. Because they love solving imaginary problems.
gaurangnaware
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well i am solving an ode
and the question is if the given y satisfies it and it contains.. inte^x^2...
lgbasallote
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they give these stuffs in ode now? are you by any chance from a premier university?
gaurangnaware
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haha
well Ph.D.. i have forgotten the basics.. was just revising
lgbasallote
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I am a PhD myself. However, I'm from Liberal Arts...
Algebraic!
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@mukushla jinx
lgbasallote
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i think @gaurangnaware wants to know how to get that erf function....
mukushla
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lol Algebraic
myko
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use series
gaurangnaware
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Thanx Mukushla.. go it!
mukushla
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no problem :)
myko
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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.
myko
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@gaurangnaware
myko
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@lgbasallote
heedcom
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or use polar