Answer
a) $6$
b) $4$
c) $2$
Work Step by Step
a)
$\int_0^{10}f(x)dx$ $\approx$ $R_5$ = $Δx[f(2)+f(4)+f(6)+f(8)+f(10)]$ = $2[-1+0-2+2+4]$ = $6$
b)
$\int_0^{10}f(x)dx$ $\approx$ $L_5$ = $Δx[f(0)+f(2)+f(4)+f(6)+f(8)]$ = $2[3-1+0-2+2]$ = $4$
c)
$\int_0^{10}f(x)dx$ $\approx$ $M_5$ = $Δx[f(1)+f(3)+f(5)+f(7)+f(9)]$ = $2[0-1-1+0+3]$ = $2$
