Project ForgeEngineering Mathematics
Calculus
GATE 2019
Medium
Evaluation of ∫₂⁴ x³ dx using a 2-equal-segment trapezoidal rule gives a value of
63(± 0.5 accepted)
Explanation
With h=1, nodes x=2,3,4 give f(x)=x³ values 8, 27, 64. Trapezoidal rule: (h/2)[f(x0)+2f(x1)+f(x2)] = 0.5×[8+2(27)+64] = 0.5×126 = 63.
Source: GATE ME 2019 Session 1 (Set 1) (2019)
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