Posted by Justin on Friday, January 18, 2008 at 9:29pm.
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.
int_2^10 2 sqrt(x^2+5)dx text(, ) n=4

Calculus  drwls, Saturday, January 19, 2008 at 10:34am
Explain what you mean by "n" and "text(, )"
Probably no one has responded to your questions because your notation is unfamiliar.

Calculus  Damon, Saturday, January 19, 2008 at 2:30pm
In general midpoint rule is
integral from
Xo to Xn is approximated by rectangles of base delta x = Xk  Xk1 and height f([Xk+Xk1]/2)
so
integral is approximately
sum from k = 1 to k = n of f([Xk+Xk1]/2) delta x
NOW HERE  You have not told us over what interval
nor do I really understand what f(x) is
like what does 2^10 2 mean?
2^10 is 2 to the tenth. Is this times another two so it is 2^11. Please be careful with parentheses.
Anyway here is how to do the problem.
Divide whatever your interval is by four if n is four then delta x = interval/4
label those five x points Xo X1 X2 X3 X4
calculate f(x) at (X1Xo)/2 and (X2X1)/2 and (X3X2)/2 and (X4X3)/2
then add them up and multiply by delta x
done
Answer This Question
Related Questions
 Calculus  Use the Midpoint Rule with the given value of n to approximate the ...
 calculus help  use the midpoint rule with the given value of n to approximate ...
 Calculus Help Please Urgent!!!  Use the Midpoint Rule with the given value of n...
 math  Use the Midpoint Rule with the given value of n to approximate the ...
 Calculus  Can someone explain to me how to do these? Given the following ...
 math  Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to ...
 Calculus  Internal 1/sqrt(1+x^3) from [0,2] and n=10 (a) Use the Trapezoidal ...
 Calculus  Use your calculator to approximate the integral using the method ...
 math  (a) Use the Midpoint Rule and the given data to estimate the value of the...
 calculus  Decide on what substitution to use, and then evaluate the given ...
More Related Questions