21M.2.SL.TZ1.1

pestleMathematicsAASLPaper 221M· sl-5-5-integration-introduction-areas-between-curve-and-x-axissource ↗

Find $\int (6 x + 7) d x$ .

[3]

Given $f' (x) = 6 x + 7$ and $f (1.2) = 7.32$ , find $f (x)$ .

[3]

Markscheme / solution

correct integration $3 x^{2} + 7 x + c$ A1A1A1

Note: Award A1 for $3 x^{2}$ , A1 for $7 x$ and A1 for $+ c$

[3 marks]

recognition that $f (x) = \int f' (x) d x$ (M1)

$3 {(1.2)}^{2} + 7 (1.2) + c = 7.32$ (A1)

$c = - 5.4$

$f (x) = 3 x^{2} + 7 x - 5.4$ A1

[3 marks]

Examiners’ report

[N/A]