Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=%20int_2%5E10%203%20sqrt%28x%5E4%2B3%29text%28%20%29dx%20text%28%2C%20%29%20n%3D4%20

Question

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=%20int_2%5E10%203%20sqrt%28x%5E4%2B3%29text%28%20%29dx%20text%28%2C%20%29%20n%3D4%20

anonymous · Answer

Let
$$f(x) = 3\sqrt{x^4+3}$$
Result: 2*f(3) + 2*f(5) + 2*f(7) + 2*f(9)

anonymous · Answer

ok lets do it.  interval is from 2 to 10 so length is 8

anonymous · Answer

ok done! i was going to write it out but i guess it is kind of silly

anonymous · Answer

although i might mention that one wold probably write 
$$(f(3)+f(5)+f(7)+f(9))2$$

anonymous · Answer

Yes but its easier to see the fact that it is a riemann sum this way.

anonymous · Answer

It may not be the case that all the interval sizes are the same in an arbitrary riemann sum

anonymous · Answer

or not. i have seen this question now 4 times at least. maybe i should just make a template...

anonymous · Answer

Is it the same person asking it over and over again?