AP EAMCET · Maths · Definite Integration
\(\int_0^2 \frac{2 x-2}{2 x-x^2} d x\) is equal to
- A \(0\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
Let \(I=\int_0^2 \frac{2 x-2}{2 x-x^2} d x\) Put \(2 x-x^2=t \Rightarrow(2-2 x) d x=d t\) \[ =-\int_0^0 \frac{d t}{t}=0 \]
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