Question

double integral help

Answer 1

\[\int\limits_{0}^{1} \int\limits_{0}^{1} x^2e^(xy) dy dx\]

Answer 2

that should be e^(xy)

Answer 3

keep x as constant and y as a variable and integrate.

Answer 4

right

Answer 5

use u=xy, then \[\frac{\partial u}{\partial y}=x\implies du=xdy\]so\[\int_0^1\int_0^1x^2e^{xy}dydx=\int_0^1\int_0^1x(e^{xy}xdy)dx\]

Answer 6

si i get (x^2e^(xy))/x which gives me xe^(xy)

Answer 7

@m.auld64 yaa ur right ... proceed

Answer 8

well then do i need to do integration by parts?

Answer 9

after that substitute the limits and then go for integration by parts..

Answer 10

right which would give me xe^x-x dx but how do i do my by parts with three terms