表达式5: "z" equals 1 minus StartRoot, 1 minus "x" squared minus "y" squared , EndRoot left brace, "z" less than or equal to 1 half , right bracez=1−1−x2−y2z≤12
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表达式6: Start integral from 0 to 2 pi , end integral, Start integral from 0 to StartFraction, StartRoot, 3 , EndRoot Over 2 , EndFraction , end integral, left parenthesis, StartFraction, "r" Over StartRoot, 3 , EndRoot , EndFraction minus left parenthesis, 1 minus StartRoot, 1 minus "r" squared , EndRoot , right parenthesis , right parenthesis "r" "d" "r" "d" theta∫2π0∫320r3−1−1−r2rdrdθ
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表达式7: StartFraction, pi Over 12 , EndFractionπ12
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表达式8: Start integral from 0 to 2 pi , end integral, Start integral from StartFraction, pi Over 3 , EndFraction to StartFraction, pi Over 2 , EndFraction , end integral, Start integral from 0 to 2cos phi , end integral, rho squared sine phi "d" rho "d" phi "d" theta∫2π0∫π2π3∫2cosϕ0ρ2sinϕdρdϕdθ