tmua 2019 Q16

tmua · Uk · paper1 1 marks Indefinite & Definite Integrals Definite Integral Evaluation (Computational)

Given that
$$2\int_0^1 f(x) \, dx + 5\int_1^2 f(x) \, dx = 14$$
and
$$\int_0^1 f(x+1) \, dx = 6$$
find the value of
$$\int_0^2 f(x) \, dx$$

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Given that

$$2\int_0^1 f(x) \, dx + 5\int_1^2 f(x) \, dx = 14$$

and

$$\int_0^1 f(x+1) \, dx = 6$$

find the value of

$$\int_0^2 f(x) \, dx$$