Question

How to integrate y*abs(y)?

Answer 1

@satellite73 @hartnn @ganeshie8 @zepdrix @iambatman @Compassionate

Answer 2

from where to where?

Answer 3

or lets cut to the chase
if \(y<0\) then \(y|y|=-y^2\) and if \(y>0\) then \(y|y|=y^2\)

Answer 4

in other words it is a piecewise function, which is not surprising as the absolute value function is piecewise

Answer 5

It doesn't have from where to where. It's an indefinite integral. But how to integrate this with respect to y?

Answer 6

is it
\[\int y|y|dy\]?

Answer 7

Yes.

Answer 8

then what i said above is correct

Answer 9

So what's the answer?