How do I solve this integral using a) the midpoint rule and b) simp son's rule to approximate the integral? can you please explain? thank you!!

Question

anonymous · Answer

$$\int\limits_{0}^{2} \frac{ x }{ 1+x^2 } dx $$

anonymous · Answer

where n = 10

amistre64 · Answer

its finding an approximation to the area under the curve ...

anonymous · Answer

yes:) how can i set it up? I'm a bit confused with the process :o

amistre64 · Answer

instead of left or right values, you are grabbing the value at the middle of the interval

anonymous · Answer

ooh okay! yes:) what do we do to start off?

amistre64 · Answer

im not sure how easy it would be to construct the rule .. your material should have it

anonymous · Answer

okay! then, could you please show me how id go about solving this integral?

amistre64 · Answer

the hardest part is constructing the rule .. since i dont recall the formula for it off hand.  do you have the formula for it?

amistre64 · Answer

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