Question

So sánh \(\int\limits^1_02xdx\) và \(2\int\limits^1_0xdx.\)

Answer 1

\(\int\limits_0^1 {2xdx} = \left. {{x^2}} \right|_0^1 = 1 - 0 = 0\).

\(2\int\limits_0^1 {xdx} = \left. {2\frac{{{x^2}}}{2}} \right|_0^1 = \left. {{x^2}} \right|_0^11 - 0 = 0\).

Vậy \(\int\limits_0^1 {2xdx} \) = \(2\int\limits_0^1 {xdx} \).