Expression 3: Start integral from negative 1 to "x" , end integral, 1 / ( "t" squared minus "t" plus 1 ) "d" "t" left brace, negative 1 less than or equal to "x" less than or equal to 1 , right brace∫x−11/(t2−t+1)dt−1≤x≤1
3
Expression 4: Start integral from "x" to 1, end integral, 1 / ( "t" squared plus "t" plus 1 ) "d" "t" left brace, negative 1 less than or equal to "x" less than or equal to 1 , right brace∫1x1/(t2+t+1)dt−1≤x≤1
4
Expression 5: StartFraction, 4 StartRoot, 3 , EndRoot Over 9 , EndFraction pi plus StartFraction, 2 StartRoot, 3 , EndRoot Over 3 , EndFraction left parenthesis, arctan ( ( 2 "x" minus 1 ) / StartRoot, 3 , EndRoot ) minus arctan ( ( 2 "x" plus 1 ) / StartRoot, 3 , EndRoot ) , right parenthesis439π+233arctan((2x−1)/3)−arctan((2x+1)/3)
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Expression 6: Start integral from negative 1 to "x" , end integral, 1 / ( "t" squared minus "t" plus 1 ) "d" "t" positive Start integral from "x" to 1, end integral, 1 / ( "t" squared plus "t" plus 1 ) "d" "t" left brace, negative 1 less than or equal to "x" less than or equal to 1 , right brace∫x−11/(t2−t+1)dt+∫1x1/(t2+t+1)dt−1≤x≤1