- #1
karush
Gold Member
MHB
- 3,269
- 5
15.1.34 Evaluate
$\displaystyle I=\int_{0}^{3\pi/2}\int_{0}^{\pi}\int_{0}^{\sin{x}}
\sin{y} \, dz \, dx \, dy$
integrat dz
$\displaystyle I=\int _0^{3\pi/2}\int _0^{\pi }\sin(y)\sin (x)\, dxdy $
integrat dx
$\displaystyle I=\int _0^{3\pi/2}\sin \left(y\right)\cdot \,2dy$
integrat dy
$I=2$
ok I think its correct, took me an hour to do... trig was confusing
typos mabybe
$\displaystyle I=\int_{0}^{3\pi/2}\int_{0}^{\pi}\int_{0}^{\sin{x}}
\sin{y} \, dz \, dx \, dy$
integrat dz
$\displaystyle I=\int _0^{3\pi/2}\int _0^{\pi }\sin(y)\sin (x)\, dxdy $
integrat dx
$\displaystyle I=\int _0^{3\pi/2}\sin \left(y\right)\cdot \,2dy$
integrat dy
$I=2$
ok I think its correct, took me an hour to do... trig was confusing
typos mabybe