P(0, 3), Q(0.5, 4) and R(1, 5) are three points on the curve

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P(0, 3), Q(0.5, 4) and R(1, 5) are three points on the curve defined by f(x). Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits x = 0 and x = 1 for the curve. The difference between the two results will be

1. 0
2. 0.25
3. 0.5
4. 1

Correct Option: A

By Trapezoidal rule

=	0.5	[ (3 + 5) + 2(4) ] = 4
	2

By Simpson rule

=	0.5	[ (3 + 5) + 4(4) ] = 4
	3

Difference between these two results will be 0.