Here's my question: Use Simpson's rule with 10 strips to find an approximation for

Question

lncognlto · Answer

$$\int\limits_{1}^{0}1\div (x+1) dx$$

lncognlto · Answer

My answer keeps coming out at 0.6938, but the answer in the book is 0.6932. Why are they different?

amistre64 · Answer

simsons rule is parabolic right?

lncognlto · Answer

Maybe - its $$A \approx (1\div2)h [y0 + 2(y1 +y2 + yn-1) +yn]$$

lncognlto · Answer

Where h = the width of the rectangles, so 0.1 in this case, I think.

amistre64 · Answer

0 to 1 divide into 10 is 1/10;  or .1 for each end point,  leaving .05 for the middle midpoints

amistre64 · Answer

i cant say that i recall the formula for it; and i would most likely have to longhand the parabolas to fit

amistre64 · Answer

the error seems minimal to me so that it might be something simple that you are overlooking if youve done it exactly like the book shows

lncognlto · Answer

Ok I will do it again and see if it changes anything.

amistre64 · Answer

$$\frac{b-a}{n}\frac13(f(x_0)+4f(x_1)+2f(x_2)+4f(x_3)+...+4f(x_{n-1})+f(x_n))$$

lncognlto · Answer

Ok, I did it again and got 0.6932. Thanks

amistre64 · Answer

good job :)