Use Simpson's Rule with n = 4 steps to estimate the integral.
-$$\int _ { 0 } ^ { 1 } \frac { 9 } { 1 + x ^ { 2 } } d x$$
A) $\frac { 47,907 } { 6800 }$
B) $\frac { 24,033 } { 3400 }$
C) $\frac { 47,907 } { 3400 }$
D) $\frac { 24,033 } { 1700 }$

Question

Quizplus · Accepted Answer

Using Simpson's Rule with n=4 steps, we have 
\begin{align*}
\int _ { 0 } ^ { 1 } \frac { 9 } { 1 + x ^ { 2 } } d x &\approx \frac{1}{3}\cdot\frac{1}{4}\cdot\left[\frac{9}{1+0^2}+4\cdot\frac{9}{1+(0.25)^2}+2\cdot\frac{9}{1+(0.5)^2}+4\cdot\frac{9}{1+(0.75)^2}+\frac{9}{1+1^2}ight]\
&=\frac { 24,033 } { 3400 }
\end{align*}
Therefore, the best choice is B.

Use Simpson's Rule with N = 4 Steps to Estimate ∫0191+x2dx\int _ { 0 } ^ { 1 } \frac { 9 } { 1 + x ^ { 2 } } d x∫01​1+x29​dx

Use Simpson's Rule with N = 4 Steps to Estimate $\int _ { 0 } ^ { 1 } \frac { 9 } { 1 + x ^ { 2 } } d x$