Integral Dupla e Teorema de Fubini

Considere a integral dupla \(\int_{R} y \operatorname{sen}(x y) d A\), onde \(R = [1,2] \times [0, \pi]\). Com relação ao Teorema de Fubini, assinale a alternativa correta:
A) \(\int_{0}^{\pi} \int_{1}^{2} y \operatorname{sen}(x y) d x = 0\)
B) \(\int_{1}^{2} \int_{0}^{\pi} y \operatorname{sen}(x y) d y = \operatorname{sen}(2)\)
C) \(\int_{0}^{\pi} \int_{1}^{2} y \operatorname{sen}(x y) d x = 3\)
D) \(\int_{1}^{2} \int_{0}^{\pi} y \operatorname{sen}(x y) d y = 0\)
E) \(\int_{0}^{\pi} \int_{1}^{2} y \operatorname{sen}(x y) d x = \frac{1}{2}\)