Question

how large should n be to guarantee that the Simpson's Rule approximation to \[\int_{0}^{1} e^{x^2} dx\]
is accurate to within 0.00001?

Answer 1

Simpson's error related to h^2=k/n^2 so 1/n^2=1/100000_>n>100sq(10)#340

Answer 2

\[h^2 = \frac {k}{n^2}\]
\[\frac{1}{n^2}=\frac{1}{100000} \]
>n>100\sq(10) #340
?

Answer 3

yes !

Answer 4

means you should select n bigger than 340

Answer 5

how did you come to that conclusion?

Answer 6

sorry sq(10)=3.16 so answer is 317 or more.