Easy -1.2 This is a straightforward integration question requiring only the power rule applied to three terms. It's simpler than average A-level questions as it involves direct application of a single technique with no problem-solving, though students must remember to rewrite √x as x^(1/2) first.
Attempts to integrate awarded for any correct power; Correct two non-fractional power terms; Correct fractional power term; Completely correct, simplified and including constant of integration seen on one line
$\int(\frac{1}{2}x^2 - 9\sqrt{x} + 4)dx = \frac{x^3}{6} - 6x^{\frac{3}{2}} + 4x + c$ | M1, A1, A1, A1 | Attempts to integrate awarded for any correct power; Correct two non-fractional power terms; Correct fractional power term; Completely correct, simplified and including constant of integration seen on one line