Allied & ICAR Exam Bank • ALLIED_1030 NAT • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Trapezoidal rule

Question Statement:

The approximate value of $\int_1^3 \frac{1}{x} dx$ obtained using the single-segment Trapezoidal rule is:

Answer Key:

1.33

Step-by-Step Solution & Explanation

Single segment trapezoidal rule: $I \approx \frac{b-a}{2} [f(a) + f(b)] = \frac{3-1}{2} [f(1) + f(3)] = 1 \times [1 + 1/3] = \frac{4}{3} \approx 1.333$.
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