Numerical Integration - Error bound for Simpson's Rule?

Question

1) int from 1 to 7 x^(3/2)

I end up getting 394.82203 but the book has the answer listed at 396.

2) int from 0 to 1 e^(x^2)

Same thing, I end up with 184.059777 but the book has it at 186.

Error(Sn) <= (K4((b-a)^3)) / (180(N^4))

Am I missing something??

Answer 1

According to the source, the error bound is

K4(b-a)^5 /180n^4

You have (b-a)^3