Problem 1384 (difficulty: 4/10)

\(\displaystyle a)\quad \int_0^2 \sin x\ \hbox{d}\{x\}=?\qquad\qquad\qquad b)\quad \int_{\gamma} x^2\ \hbox{d}(y^2)=?\)

where \(\displaystyle \gamma\) is the triangle with vertices \(\displaystyle (0,0), (2,0), (0,1)\).

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