Multiple choice

Function f(x) is known at the following points: x 0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 f(x) 0 0.09 0.36 0.81 1.44 2.25 3.24 4.41 5.76 7.29 9.00

The value of $\int_0^2 f$ (x) dx computed using the trapezoidal rule is

  1. 8.983

  2. 9.003

  3. 9.017

  4. 9.045
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\int_0^3 f(x) dx = \dfrac{h}{2}[f(x_0) + f(x_10) + 2(f(x_1) + f(x_2) + ...... +f(x_g) )]$ $= \dfrac{0.3}{2}[9.00 + 2(25.65)] = 9.045$ 

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