Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals.

\(\int_{2}^{10} 2 x^{2} d x\) using n=1, 2, and 4 subintervals

Problem 11E

Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals.

using n =1, 2, and 4 subintervals

Answer

Step 1;

Midpoint sum (also Midpoint approximation ) uses midpoint of subintervals;

f(x) dx (f() + f() +f() +.............+f()+f())

Where = , a = and b = , [a ,b] is the interval .

[ ] , [ ] , [ ] ……….. [ ] are the subintervals in [ a , b] .