運算式 13: "y" Subscript, "S" , Baseline equals 8 Start integral from StartFraction, "L" Over 2 , EndFraction to StartFraction, "d" Over 2 , EndFraction , end integral, StartRoot, left parenthesis, StartFraction, "d" Over 2 , EndFraction , right parenthesis squared minus "x" squared , EndRoot "d" "x"yS=8∫d2L2d22−x2dx
equals=
5.1 3 7 1 6 6 9 4 1 1 55.13716694115
13
運算式 14: "y" Subscript, "i" , Baseline left parenthesis, "a" , right parenthesis equals 1 half left parenthesis, arcsin "a" plus "a" StartRoot, 1 minus "a" squared , EndRoot , right parenthesisyia=12arcsina+a1−a2
14
運算式 15: "y" Subscript, "c" "k" , Baseline equals 8 left parenthesis, StartFraction, "d" Over 2 , EndFraction , right parenthesis squared left parenthesis, "y" Subscript, "i" , Baseline left parenthesis, 1 , right parenthesis minus "y" Subscript, "i" , Baseline left parenthesis, StartFraction, "L" Over "d" , EndFraction , right parenthesis , right parenthesisyck=8d22yi1−yiLd
equals=
5.1 3 7 1 6 6 9 4 1 1 55.13716694115
15
運算式 16: left parenthesis, cos "t" , sin "t" , right parenthesiscost,sint
定義域 t 最小值： negative pi−π
less than or equal to "t" less than or equal to≤t≤
定義域 t 最大值： piπ
16
運算式 17: "S" equals 9 left parenthesis, StartFraction, pi Over 2 , EndFraction minus 1 , right parenthesisS=9π2−1
