- #1
UrbanXrisis
- 1,196
- 1
[tex]\int _0 ^{\pi/3} \int _0 ^{\pi/4} x cos(x+y) dy dx[/tex]
[tex]\int _0 ^{\pi/3} xsin(x+\frac{\pi}{4}) dx [/tex]
using u-sub, u=x, dv=sin(x+pi/4)
[tex]-xcos\left(x+\frac{\pi}{4}\right)+ sin\left(x+\frac{\pi}{4}\right)-sin\left(\frac{\pi}{4}\left) |_0^{\pi/3} [/tex]
[tex]-\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) [/tex]
i don't know where I made the mistake
[tex]\int _0 ^{\pi/3} xsin(x+\frac{\pi}{4}) dx [/tex]
using u-sub, u=x, dv=sin(x+pi/4)
[tex]-xcos\left(x+\frac{\pi}{4}\right)+ sin\left(x+\frac{\pi}{4}\right)-sin\left(\frac{\pi}{4}\left) |_0^{\pi/3} [/tex]
[tex]-\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) [/tex]
i don't know where I made the mistake
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