Project ForgeEngineering Mathematics
Numerical Methods
GATE 2016
Medium
f(x) values on [0,4]: f(0)=3,f(1)=10,f(2)=21,f(3)=36,f(4)=55. Using Simpson's 1/3 rule (h=1), the approximation of ∫0^4 f(x)dx, rounded to 2 decimal places, is
94.67(± 0.1 accepted)
Explanation
∫≈(1/3)[f(0)+4f(1)+2f(2)+4f(3)+f(4)]=(1/3)[3+40+42+144+55]=284/3=94.67.
Source: GATE CH 2016 (2016)
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