Easy -1.8 This is a trivial 1-mark question testing only the basic linearity property of integration: ∫(f(x)+1)dx = ∫f(x)dx + ∫1dx = 7 + 10 = 17. Requires no problem-solving, just direct application of a fundamental rule with simple arithmetic.
Given that
$$\int_0^{10} f(x) \, dx = 7$$
deduce the value of
$$\int_0^{10} \left( f(x) + 1 \right) dx$$
Circle your answer.
[1 mark]
\(-3\) \quad \(7\) \quad \(8\) \quad \(17\)
Given that
$$\int_0^{10} f(x) \, dx = 7$$
deduce the value of
$$\int_0^{10} \left( f(x) + 1 \right) dx$$
Circle your answer.
[1 mark]
$-3$ \quad $7$ \quad $8$ \quad $17$
\hfill \mbox{\textit{AQA Paper 3 2020 Q1 [1]}}