Given the following question:
Formula for midpoint:
[tex]D=-x-(-x^3)=x^3-x[/tex]Four regions:
x = -1 to x = -0.75
Which gives us...
-0.875
x = -0.75 to x = -0.5
= -0.625
x = -0.25 to x = 0
= -0.125
x = -0.5 to x = -0.25
= -0.375
Substitute the values in the formula given:
[tex]\begin{gathered} D=-x-(-x^3)=x^3-x \\ -0.875^3+0.875=0.205078 \\ -0.625^3+0.625=0.380859 \\ -0.375^3+0.375=0.322266 \\ -0.125^3+0.125=0.123047 \\ 0.205078+0.380859+0.322266+0.123047\times0.25 \\ 0.205078+0.380859+0.322266+0.123047=1.03125 \\ 1.03125\times0.25=0.257 \\ =0.257 \end{gathered}[/tex]
