Question

Approximate the integral using Simpson's rule S10

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

Answer 1

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

Answer 2

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

Answer 3

\[\Delta x = (2-1)/n = 1/10.\]
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.

Answer 4

try clicking on the links pal

Answer 5

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