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Diketahui daerah $D=D_1\\cup D_2$ dibatasi oleh garis $x=\\dfrac{\\pi}{2}$, sumbu-$x$, dan $y=f(x)=e^{-\\var{a}x}\\sin(x)$, $D_1$ merupakan semua daerah yang berada dikuadran $I$ dan $D_2$ merupakan semua daerah yang berada pada kuadran $IV$.

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Misalkan $A_1$ merupakan luas daerah $D_1$ dan $D_2$ merupakan luas $A_2$, dan $\\displaystyle A_1-A_2 = Ae^{-B\\pi}$ dengan $AB=\\ldots$.

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Volume benda putar jika $D$ diputar mengelilingi sumbu-$x$ adalah $K\\pi e^{-\\var{a}\\pi}$ dengan $K=\\ldots$.

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Volume benda putar jika $D_1$ diputar mengelilingi sumbu-$y$ adalah $V_1$ dan volume benda putar jika $D_2$ diputar mengelilingi sumbu-$y$ adalah $V_2$. Jika nilai dari $V_1-V_2=\\dfrac{2\\pi e^{-\\var{a}\\pi/2}}{A}(B\\pi+C)$ maka $A+B+C=\\ldots$.

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