How do you use the Trapezoidal Rule with n=60 to estimate the length of the curve #y=sinx#, with x greater or equal to 0 and x less than or equal to pi?
1 Answer
Oct 10, 2015
The length of the curve
Explanation:
So we need to approximate
using the trapezoidal rule. We'll use the formula.
In this case
Plug in the numbers and do the arithmetic.
(If permitted, use a computer spreadsheet for all that arithmetic.)
Note
Your answer should be very close to the exact answer:
# = int_0^pi abs(sinx) dx #
# = int_0^pi sinx dx#
# = 2#