Q117 / 160 · TS EAMCET 2004 · Mathematics

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

  • Correct answer
    A
    $0$
  • B
    $2$
  • C
    $3$
  • D
    $4$

Solution

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

Hence, the correct answer is option: 'A'.

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