Question

use Simpson's with n=10 to approx. f(x)= x sin x, 0¡Ü x ¡Ü2¦Ð
round to 6 decimal places

I know I set up the calculation correctly like this:
(pi/15)(f(0)+4f(pi/5)+2f(2pi/5)+...+2f(8pi/5)+4f(9pi/5)+f(2pi)

I keep getting a negative answer but I know that the answer is somewhere in the 15's. Please help me out here.

Answer 1

Sorry, supposed to be from 0 to 2pi

Answer 2

there are lots of online calculators you can use to verify your answer, such as

http://www.wolframalpha.com/widgets/view.jsp?id=174a81e7a9ffb5aed0a790093981aaab