Approximate the integral using Simpson's rule S10

integral from 1 to 2 lnx^(3/2) dx

Question

Approximate the integral using Simpson's rule S10

integral from 1 to 2 lnx^(3/2) dx

anonymous · Answer

Pigg, are you going to answer this, or give me 3 mins for me to figure it out?

anonymous · Answer

All you do is just plug the information given into Simpson's rule ( http://tutorial.math.lamar.edu/Classes/CalcII/ApproximatingDefIntegrals_files/eq0026MP.gif) a=1, b=2, n=10, thus change in x:[(b-a)/n]=1/10, more info at http://tutorial.math.lamar.edu/Classes/CalcII/ApproximatingDefIntegrals.aspx

anonymous · Answer

$$\Delta x = (2-1)/n = 1/10.$$
so do EACH one of the subdivisions separately.... 
f(a) = ln(1)^(3/2) = (3/2)*ln(1)
f(a+$$\Delta x$$ = ln(1+1/10)^(3/2) = (3/2)*ln(1.1)
and so on... you got the busy work, and then sum all 10 divisions up. 
or you can cheat and use the calculator Flyinpigg linked.

anonymous · Answer

try clicking on the links pal

anonymous · Answer

Thanks alot for the help, it cleared up some confusion. : )