Allied & ICAR Exam Bank • ALLIED_0100 NAT • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

Evaluating $\int_0^2 x^2 dx$ using the Trapezoidal rule with a single interval ($h = 2$) gives:

Answer Key:

4

Step-by-Step Solution & Explanation

Trapezoidal rule: $I = \frac{h}{2}[f(0) + f(2)] = \frac{2}{2}[0 + 4] = 4.0$.
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