Question

how to integrate 3y^(2)e^(xy) with respect to y?

Answer 1

ideally, id say with integration by parts

Answer 2

e^xy
y^2 e^xy/x
-2y e^xy/x^2
2 e^xy/x^3

Answer 3

\[\frac{3}{x}e^{xy}(y^2-\frac{2}{x}y+\frac{2}{x^2})\]

Answer 4

i spose that might be prettier if i factor out the unders all at once like the wolf would do

Answer 5

\[\frac{3}{x^3}e^{xy}(x^2y^2-2xy+2)\]