Use the Error Bound to find the least possible value of N for which Error(SN)≤1×10−9
in approximating
∫106ex2dx
using the result that
Error(SN)≤K4(b−a)5180N4,
where K4 is the least upper bound for all absolute values of the fourth derivatives of the function 6ex2 on the interval [a,b]
N=