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JEE Mains · Maths · STD 12 - 7.2 definite integral
\(\mathop \smallint \limits_2^4 \frac{{\log {x^2}}}{{\log {x^2} + {\rm{log}}\left( {36 - 12x + {x^2}} \right)}}\;dx = \)
- A \(6\)
- B \(2\)
- C \(4\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
The integral \(\int\limits_2^4 {\frac{{\log {x^2}}}{{\log {x^2} + \log \left( {36 - 12x + {x^2}} \right)}}} dx\) is equal to \(PLAN\) Apply the property \(\int\limits_a^b {f\left( x \right)} dx = \int\limits_a^b {f\left( {a + b - x} \right)} dx\) and then add Let…
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