Help me integrate this function using Simpson's rule

136 Views Asked by At

I have a question: compute

$$\int_0^1 \frac{\sin(x)}{x}\,dx$$

for $n=10$ divisions.

I got the value $0.9127$ but I think its a bit too high.

1

There are 1 best solutions below

1
On BEST ANSWER

$$\int_0^1\frac{sin(x)}{x}dx=\text{Si}(1)\approx0.946083.$$

enter image description here

http://www.wolframalpha.com/input/?i=%5cint_0%5e1%7bsin(x)%2fx%7ddx