Simpsons + Trapezoidal Rule (1 Viewer)

[shawty-snappin]

Hi everyone,

Im getting a bit confused with the function values when doing the approximation questions.

When the question says use three function value, does that mean that there is 4 subintervals

eg
find 1.5-->0.5 (ln x )^3 dx

for the subintervals would it be 1.5-0.5/3 and then the four intervals will be 0.5, 5/6, 7/6 and 1.5) or do you do (1.5-0.5)/4 because they're 4 subintervals

But the answer in the HSC Book says to use only 3 subintervals, but I thought u always use 1 more subinterval than function values.

Oh, btw the question is from HSC 2006 Q 10a)

Does anyone know how to solve this problem?

 

[lychnobity]

Hi everyone,

Im getting a bit confused with the function values when doing the approximation questions.

When the question says use three function value, does that mean that there is 4 subintervals

No, it means there are 2 "strips"

And for the second half, you're all over the place. The no. subintervals, or "strips" is 1 less than the number of function values.

 

[shawty-snappin]

ok thanks that makes it a lot clearer

so the intervals would be 0.5 , 1 and 1.5 right? and h would be 0.5?

 

[lychnobity]

ok thanks that makes it a lot clearer

so the intervals would be 0.5 , 1 and 1.5 right? and h would be 0.5?

Yes, to both.