I need to calculate the surface between y=x*e^(-x^2) and Ox axis.

This isn't a homework board lazy piggot normie. Sage

>>8890941
This isn't for homework
I am practising for a test, and i'm having trouble with this...

I'm confused. You don't seem to understand what an integral is, but someone expects you to be able to perform integration by parts?

>>8890953
Wow, so studying isn't homework anymore? Get the fuck out of here you stupid faggot. Go to stack exchange.

>>8890935
take the partial of y with respect to x, set it equal to x, and then solve for x. i dont have time to go into the theorem, but once you have a solution for x, take the recipricol and set x to zero

>>8890935
Just pay for mathematica if you want step by step homework help. Or lookup how to do u substitutions.

>>8890935
Top-bottom, you nigger faggot.

>>8890935
I'll give you a hint

If you were to integrate from -a to a where a is a real number, you would get zero. Take it from here, champ.

>>8890935
its obv an integral

>all these brainlets itt telling OP to use an integral

OP, it's an odd function, i.e., f(-x) = -f(x). So like >>8893204 said, the area under the graph between -a and a is 0. You just have to prove that the indefinite integral exists and then the result is trivial.

>>8890935
I dont think you actually ask a question that can be googled pretty easily. I think you ask a high school math questions just to see, how many people will respond with throwing shit, like apes do. And how fast will you find someone who will respond you with something sensible.

>calculate the surface
just take the surface integral with respect to x