A calculator has accuracy up to 8 digits after decimal place.

A calculator has accuracy up to 8 digits after decimal place. The value of

when evaluated using this calculator by trapezoidal method with 8 equal intervals, to 5 significant digits is

h =	2π - 0	=	π
	8		4

y₀ = sin (0) = 0

y₁ = sin		π		= 0.7071
		4

y₂ = sin		π		= 1
		2

y₃ = sin		3π		= 0.7071
		4

y₄ = sin (π) = 0

y₅ = sin		5π		= -0.7071
		4

y₆ = sin		6π		= -1
		4

y₇ = sin		7π		= -0.7071
		4

y₈ = sin		8π		= 0
		4

Trapezoidal rule

	h	[ y₀ + y_n + 2(y₁ + y₂ + ... + y_{n - 1}) ]
	2

[(0 + 0) + 2 (0.7071 + 1 + .7071 + -0.7071 - 0.7071)] = 0