Question

How do I integrate

((y^2)*(e^xy))

Answer 1

let
u=xy

dx=(du)/(y)

ye^(u)+C

ye^(xy)+C

Answer 2

i dont get it

Answer 3

Replace xy with u to simplify the integrand.
u=xy

Since du=y dx, then dx=(du)/((y)).
dx=(du)/(y)

The indefinite integral of ye^(u) is ye^(u)+C.
ye^(u)+C

The indefinite integral of y^(2)e^(xy) is ye^(xy)+C.
ye^(xy)+C

Answer 4

thank you a lot!

Answer 5

yw

Answer 6

Was the integration with respect to x or to y?

Answer 7

.Sam.'s answer is correct if it was with respect to x.

Answer 8

It is with respect to x, yes :)