Double Integral Help: Solving with u-sub

[UrbanXrisis]

\int _0 ^{\pi/3} \int _0 ^{\pi/4} x cos(x+y) dy dx
\int _0 ^{\pi/3} xsin(x+\frac{\pi}{4}) dx
using u-sub, u=x, dv=sin(x+pi/4)

-xcos\left(x+\frac{\pi}{4}\right)+ sin\left(x+\frac{\pi}{4}\right)-sin\left(\frac{\pi}{4}\left) |_0^{\pi/3}

-\frac{\pi}{3}cos\left(\frac{\pi}{3}+\frac{\pi}{4}\right)+ sin\left(\frac{\pi}{3}+\frac{\pi}{4}\right)-sin\left(\frac{\pi}{4}\right)

i don't know where I made the mistake

 

[Galileo]

Don't forgot the lower limit in the first integration: \sin(x+\pi/4)-\sin(x)