Help please!!!
Using Simpson's rule Determine the upper bound on the error in the following integral. Open to see it because i cant write equations in the top part of the question

Question

Help please!!!
Using Simpson's rule Determine the upper bound on the error in the following integral. Open to see it because i cant write equations in the top part of the question

anonymous · Answer

$$\int\limits_{1}^{3}(\sqrt[4]{X^2+1})$$

anonymous · Answer

This will be useful: https://en.wikipedia.org/wiki/Simpson%27s_rule#Error

anonymous · Answer

This means you'll have to find the upper bound of the fourth derivative of your given function.
$$\begin{align*}
f(x)&=(x^2+1)^{1/4}\\
f'(x)&=\frac{2x}{(x^2+1)^{3/4}}\\
f''(x)&=\frac{4x^2-3x+4}{2(x^2+1)^{7/4}}\\
f''''(x)&=\frac{-12x^3+15x^2-12x-6}{4(x^2+1)^{11/4}}
\end{align*}$$
(Check those derivatives, it's possible I made some mistake in the derivations)

anonymous · Answer

Definitely some mistakes...

anonymous · Answer

hmmm ya

mathmate · Answer

Correction: See also : http://openstudy.com/study#/updates/55a1e417e4b05670bbb52311 where $f^{iv}(x)$ is given.

anonymous · Answer

eh I'm too lazy to solve it bai :3

btw the asker isn't here

anonymous · Answer

Hmm same problem, that's convenient :P

anonymous · Answer

xD ima help the guy with the salmon question