How do I solve the integral x|x|dx?

[Telemachus]

Homework Statement

I must solve \displaystyle\int_{}^{}x|x|dx

How should I proceed?

 

[Hurkyl]

I try starting with one of the first things you learned about solving problems involving |x|.

 

[Quantumjump]

You just distinguish the two cases x>=0 or x<0 and then teh calculation is straighforward. in the first case you wil have the integral of x*x and in the second you will have the integral of -x*x

 

[The Chaz]

You just distinguish the two cases x>=0 or x<0 and then teh calculation is straighforward. in the first case you wil have the integral of x*x and in the second you will have the integral of -x*x

I wonder why Hurkyl didn't just say that in his reply... hmm...
I guess he doesn't know how to do it...

 

[Telemachus]

Thanks :P

 

[Unit]

I wonder why Hurkyl didn't just say that in his reply... hmm...
I guess he doesn't know how to do it...

Are you serious?

 

[LCKurtz]

Are you serious?

Just guessing here, but I would say obviously no, he isn't serious. Rather it is a gentle jab at quantumjump for not giving the OP a chance to think for himself.

 

[The Chaz]

Just guessing here, but I would say obviously no, he isn't serious. Rather it is a gentle jab at quantumjump for not giving the OP a chance to think for himself.

It was either THAT, or I was totally slamming Hurkyl (but not both)!

I prefer the Socratic method to spoon-feeding.