Answer:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]
Step-by-step explanation:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]
