Question

Answer 1

Chọn B

Answer 2

\(x\ne0\Rightarrow f\left(1-x\right)+\dfrac{2}{x^2}f\left(\dfrac{2x-2}{x}\right)=\dfrac{-x^4+x^3+4x-4}{x}=-x+1+\dfrac{4}{x^2}-\dfrac{4}{x^3}\)

\(\Leftrightarrow-\left(1-x\right)'.f\left(1-x\right)+\left(\dfrac{2x-2}{x}\right)'.f\left(\dfrac{2x-2}{x}\right)=-x+1+\dfrac{4}{x^2}-\dfrac{4}{x^3}\)

\(\Rightarrow\int\limits^0_{-1}f\left(x\right)dx+\int\limits^1_0f\left(x\right)dx=\int\limits^2_1\left(-x+1+\dfrac{4}{x^2}-\dfrac{4}{x^3}\right)dx\)

\(\Rightarrow\int\limits^1_{-1}f\left(x\right)dx=0\)