(Solved): Example 2: Use the right-endpoint, left-endpoint and midpoint approximations to approximate the are ...

Example 2: Use the right-endpoint, left-endpoint and midpoint approximations to approximate the area under the curve of $f(x)=1?x^2$ on the interval $[0,1]$. Use $n=4$, meaning 4 sub-intervals. Note: The width of each subinterval is noted by $?x$, in which $?x=\frac{b?a}{n}$. Example 3: Use the right-endpoint, left-endpoint and midpoint approximations to approximate the area under the curve of $f(x)=x^3$ on the interval $[0,3]$. Use $\mathrm{n}=3$, meaning 3 sub-intervals. Note: The width of each subinterval is noted by $?x$, in which $?x=\frac{b?a}{n}$.