Calculus question (1 Viewer)

[suclid003]

Is it possible to integrate e^(x^2)? I've tried integration by parts and it doesn't work. Is there another technique I have to use? If only there were an x in front...

 

[JhK89]

umm i think it is...
im not if its right

never tried

(x^3)/3 * e^(x^2)...?

i just intergrated the power....

 

[acmilan]

umm its possible, but i dont think with any methods learnt in the hsc. You'll have to start integrating polar coordinates and use double integration

 

[Shady01]

wouldnt it be somthing like 1/2x*e^(x^2)

 

[SoulSearcher]

wouldnt it be somthing like 1/2x*e^(x^2)

Unfortunately, it doesn't work out as simply as that.

 

[fishy89sg]

wouldnt the x still be there if you differentiated 1/2x*e^(x^2)??

and wheres everyones +C?

 

[pLuvia]

No, he meant to type: 1/(2x)*e^x2, but that is not the right answer either way

 

[shazeh]

it cant be integrated. however we can use tarpezium law ( it gives inaccurate answer) learnt in alevels.

 

[Shady01]

by polar co-ordinates you meen e^x = cis@? ac? becuase I came across somthing like that in Complex numbers

 

[katykins]

i MUST have read the initial question wrong...

 

[SoulSearcher]

i MUST have read the initial question wrong...

Doesn't work out. You can see if you try to derive the answer you have just got.

 

[Anonymou5]

Just finding an antiderivative? You can't do it in terms of 'elementary functions.' Polar coordinates is only helpful if you want to evaluate a definite integral over an infinite or semi-infinite interval.

Edit: Sorry, I meant semi-infinite interval. I've fixed it up now.

 

[katykins]

Doesn't work out. You can see if you try to derive the answer you have just got.

woah wowee i just tried and i got:

(-2/x^2 * e^(x^2)) + e^(x^2)


it seems like such a simple question, you know like ive been asked it before.. but wow it really doesnt work.

im going to show my teacher tomorrow... we'll see what kooky solution she comes up with!

 

[acmilan]

woah wowee i just tried and i got:

(-2/x^2 * e^(x^2)) + e^(x^2)


it seems like such a simple question, you know like ive been asked it before.. but wow it really doesnt work.

im going to show my teacher tomorrow... we'll see what kooky solution she comes up with!

She wont be able to answer it, it's well known you cant solve it using standard methods

 

[Riviet]

im going to show my teacher tomorrow... we'll see what kooky solution she comes up with!

Well if she does come up with a solution, she'll probably just tell you that it's not within the scope of the HSC course.

 

[katykins]

Well if she does come up with a solution, she'll probably just tell you that it's not within the scope of the HSC course.

haha possibly.. but i love watching teachers work out something beyond my scope of comprehension..

fun fun!