The trapezoidal method for numerically computing integral_a^b f(x) dx has an…

GATE · 1997 · CS · Question 4 subparts

The trapezoidal method for numerically computing integral_a^b f(x) dx has an error E bounded by ((b - a)/12) h^2 max |f''(x)|, x in [a, b], where h is the width of each trapezoid. The minimum number of trapezoids guaranteed to ensure E <= 10^-4 while computing ln 7 using f(x) = 1/x is

  1. A.

    60

  2. B.

    100

  3. C.

    600

  4. D.

    10,000

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