Expression 5: left parenthesis, Start integral from 0 to 1000000, end integral, StartFraction, "x" Over "e" Superscript, StartNestedFraction, "x" NestedOver "a" , EndNestedFraction , Baseline times "a" squared , EndFraction "d" "x" , right parenthesis∫10000000xexa·a2dx
equals=
11
5
Expression 6: StartFraction, left parenthesis, Start integral from "h" to 1000, end integral, StartNestedFraction, "x" NestedOver "e" Superscript, StartNestedFraction, "x" NestedOver "a" times 1.0 4 , EndNestedFraction , Baseline times left parenthesis, 1.0 4 "a" , right parenthesis squared , EndNestedFraction "d" "x" , right parenthesis Over left parenthesis, Start integral from "h" to 1000, end integral, StartNestedFraction, "x" NestedOver "e" Superscript, StartNestedFraction, "x" NestedOver "a" , EndNestedFraction , Baseline times "a" squared , EndNestedFraction "d" "x" , right parenthesis , EndFraction∫1000hxexa·1.04·1.04a2dx∫1000hxexa·a2dx
equals=
1.0 6 8 3 1 3 7 6 1 4 51.06831376145
6
Expression 7: left parenthesis, Start integral from "a" minus 0.0 1 to "a" plus 0.0 1, end integral, StartFraction, "x" Over "e" Superscript, StartNestedFraction, "x" NestedOver "a" , EndNestedFraction , Baseline times "a" squared , EndFraction "d" "x" , right parenthesis∫a+0.01a−0.01xexa·a2dx