Allied & ICAR Exam Bank • ALLIED_2766 NAT • 2 Marks

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 segment ($h = 2$) gives:

Answer Key:

4

Step-by-Step Solution & Explanation

Formula: $\frac{h}{2} [f(0) + f(2)] = \frac{2}{2} [0 + 4] = 4$. (Exact integral is $8/3 \approx 2.67$).
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