GATE 2024 PI – Question 47

Engineering Mathematics · Numerical Methods · 2 marks · Numerical answer

At x = 0,1,2,3,4, tabulated y values are 1,3,6,9,12. Use the trapezoidal rule for $\int_0^4y(x)dx$ (one decimal).

Show answer and explanation

Correct answer: 24.5 to 24.5

Explanation

Uniform step is h = 1. Composite trapezoidal integration gives $I=(1/2)[1+2(3+6+9)+12]=49/2=\mathbf{24.5}$.

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