Tính tích phân dựa vào tính chất tuyến tính

a) \(\int\limits_0^3 \left[f(x)+g(x)\right]dx = \int\limits_0^3 f(x)\,dx + \int\limits_0^3 g(x)\,dx = 5 + 2 = 7\) b) \(\int\limits_0^3 \left[f(x)-g(x)\right]dx = \int\limits_0^3 f(x)\,dx - \int\limits_0^3 g(x)\,dx = 5 - 2 = 3\) c) \(\int\limits_0^3 3f(x)\,dx = 3\int\limits_0^3 f(x)\,dx = 3 \cdot 5 = 15\) d) \(\int\limits_0^3 \left[2f(x)-3g(x)\right]dx = 2\int\limits_0^3 f(x)\,dx - 3\int\limits_0^3 g(x)\,dx = 2 \cdot 5 - 3 \cdot 2 = 10 - 6 = 4\)