Question

evaluate the double integral:

xcos(y)DA, D is bounded by y=0, y=x^2, x=1

Answer 1

\[\int\limits \int\limits xcos(y)\]

Answer 2

i got to \[\int\limits_{0}^{1}xsin(x^{2})dX\]

Answer 3

then I'm stuck

Answer 4

u-sub\[u=x^2\implies du=2xdx\]

Answer 5

so 1/2(cos x^2) from 0 to 1?

Answer 6

figured it out! thanks!

Answer 7

-1/2cos, but yeah

Answer 8

So does this just yield \[\frac {1}{2} - \frac {1}{2}\cos(1)\]
?