A function y(x) is defined in the interval [0, 1] on the 𝑥-axis as y(x) = 2…

GATE · 2022 · CS · General AptitudeGATE · 2022 · BM · General Aptitude

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

y(x) = 2 if 0 ≤ x < 1/3

y(x) = 3 if 1/3 ≤ x < 3/4

y(x) = 1 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?

  1. A.

    5/6

  2. B.

    6/5

  3. C.

    13/6

  4. D.

    6/13

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