$\int_0^2 \frac{2 x-2}{2 x-x^2} d x$ is equal to

Question

Aicharya · Accepted Answer

Let $I=\int_0^2 \frac{2 x-2}{2 x-x^2} d x$ Put $2 x-x^2=t \Rightarrow(2-2 x) d x=d t$ $ =-\int_0^0 \frac{d t}{t}=0 $

Solution