A function y(x) is defined in the interval [0, 1] on the x-axis as y(x)={\\begin{array}{c}2 \\\\text{ if }\\ 0 \leq x&lt\ \\\{1\end\frac{array}{3} ; 3 \text{ if } \frac{1}{3} \leq x< \frac{3}{4} ; 1 \text{ if } \frac{3}{4} \leq x \leq 1}. Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

GATE Computer Science (CS) 2022 Shift 1 Solved Paper

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A function y(x) is defined in the interval [0, 1] on the x-axis as

y(x)={\{\table 2 \;\text " if "\; 0 ≤ x< \;{1}/{3} ; 3 \;\text " if "\; \;{1}/{3} ≤ x< \;{3}/{4} ; 1 \;\text " if "\; \;{3}/{4} ≤ x ≤ 1}.

Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

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