Question

How to do Errors in Trapezoidal Rule and Simpson's Rule?
See below for question.

Answer 1

\[\int\limits_{0}^{2} x^3dx\]
when n = 4

Answer 2

@RadEn @Hero @agent0smith

Answer 3

anyone? @zepdrix

Answer 4

I know the formula is
\[E \le \frac{ (b-a)^2 }{ 12n^2 } (\max \left| f"x \right|), a \le x \le b\]
and I got 1/4

but the work here

Answer 5

anyone????

Answer 6

Are you sure you have the error formula correct? From looking it up, it looks like the (b-a) term should be to the power 3, so (b-a)^3 not (b-a)^2. I got 0.5 that way.

Answer 7

yeah i just got the error formula wrong...