Question

how do you integrate this (wrt. x) between y and sqrt(y):
xye^xy

Answer 1

consider y to be constant if i read it right

Answer 2

or use the other FTC:

\[\int_{\sqrt{y}}^{y}(xy\ e^{xy})dx=(yy\ e^{yy}\ )(y')-(\sqrt{y}y\ e^{x\sqrt{y}})(\sqrt{y})'\] of something like that

Answer 3

all the xys get confusing