IB Calculus Problem 1

Let the function \(f(x) = 6x^2-3x\) be represented below.

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image that is essential to understanding the question

  1. Find \(\int \! (6x^2-3x) \, \mathrm{d}x\).

  2. Find the area of the region bounded by the graph of \(f(x)\),

    the x-axis and the lines \(x = 1\) and \(x = 2\).

    That is, \(\int_1^2 \! (6x^2-3x) \, \mathrm{d}x\).

Published by Annie Bernatchez in «calculus». Key Words: IB, question