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?
The length of the curve
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.)
Your answer should be very close to the exact answer:
# = int_0^pi abs(sinx) dx #
# = int_0^pi sinx dx#
# = 2#