Expression 7: StartFraction, "b" Over "a" squared , EndFraction times StartFraction, negative "x" Over StartRoot, 1 minus left parenthesis, StartNestedFraction, "x" NestedOver "a" , EndNestedFraction , right parenthesis squared , EndRoot , EndFractionba2·−x1−xa2
7
Ja sitten vielä sievennetään kaarenpituuden integraali
8
Expression 9: "p" equals 4 Start integral from 0 to "a" , end integral, StartRoot, 1 plus "f" prime left parenthesis, "x" , right parenthesis squared , EndRoot "d" "x"p=4∫a01+f′x2dx
equals=
9.6 8 8 4 4 8 1 9 8 3 79.68844819837
9
Expression 10: "p" equals StartFraction, 4 Over "a" , EndFraction Start integral from 0 to "a" , end integral, StartRoot, "a" squared plus "b" squared StartFraction, "x" squared Over "a" squared minus "x" squared , EndFraction , EndRoot "d" "x"p=4a∫a0a2+b2x2a2−x2dx