Method = 0 for the definite integral (volume under z = 0 is counted as negative)
Method = 1 for volume under the surface (volume under z = 0 is counted as positive)
21
Calculations
22
"V" "o" "l" "u" "m" "e"Volume
"V"V
r1c3:
r2c3:
23
"S" "u" "r" "f" "a" "c" "e" "A" "r" "e" "a"SurfaceArea
"S" Subscript, "A" , BaselineSA
r1c3:
r2c3:
24
Formulas
對學生隱藏此資料夾。
25
運算式 26: "V" "o" "l" "u" "m" "e" equals Start integral from "c" to "d" , end integral, Start integral from "a" to "b" , end integral, "f" left parenthesis, "x" , "y" , right parenthesis "d" "x" "d" "y"Volume=∫dc∫bafx,ydxdy
26
運算式 27: "S" "u" "r" "f" "a" "c" "e" "A" "r" "e" "a" equals Start integral from "c" to "d" , end integral, Start integral from "a" to "b" , end integral, StartRoot, StartFraction, ∂ "f" Over ∂ "x" , EndFraction squared positive StartFraction, ∂ "f" Over ∂ "y" , EndFraction squared positive 1 , EndRoot "d" "x" "d" "y"SurfaceArea=∫dc∫ba∂f∂x2+∂f∂y2+1dxdy