Question - Help (1 Viewer)

[red152]

Use Simpson’s Rule with 5 function values to approximate the integral of (lnx)^2 between 9 and 1. Answer to 3 significant figures.

 

[boredofstudiesuser1]

Use Simpson’s Rule with 5 function values to approximate the integral of (lnx)^2 between 9 and 1. Answer to 3 significant figures.

I'm not sure which bit you're struggling with, but:

Remember n is the number of intervals (not function values)

h = (b-a)/n = 8/4 = 2 (where b=9, a=1, n=4)

so now since we need 5 function with each producing a shape of height 2: sub these x-values into the function: 1, 3, 5, 7, 9

5 function values: 0, (ln3)^2, (ln5)^2, (ln7)^2, (ln9)^2

Putting all this into the formula is: (2/3)((0+(ln9)^2)+4((ln3)^2+(ln5)^2)+2(ln7)^2)

Hopefully that should give you the write answer, and then you do 3 sig figs.

 

[red152]

arghh. thanks. I just saw the integral and I was like 'how the hell do you integrate this'...

 

[boredofstudiesuser1]

arghh. thanks. I just saw the integral and I was like 'how the hell do you integrate this'...

Haha, unless you do 4U you won't have to worry about that.