Question

numerical integration help..

Answer 1

find the least possible value of N for which Error(SN)≤1×10^−9 in approximating \[\int\limits_{0}^{1}4e ^{x ^{2}}dx\] using the result that \[Error(S _{N})\le \frac{ K _{4}(b-a)^5 }{ 180N ^{4} }\]

Answer 2

where K_4 is the least upper bound for all absolute values of the fourth derivatives of the function 4e^(x^2) on [a,b]

Answer 3

the fourth derivative is \[e ^{x^2}(64x^4+192x^2+48)\]

Answer 4

what should i do now?