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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
The inlegral ∫24log⁡x2log⁡x2+log⁡(36−12x+x2)dx,\int\limits_{2}^4 \frac{\log x^2}{\log x^2+\log \left(36-12 x+x^2\right)} d x, is equal to
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Correct option: A
1
Option A (1) is correct because the integral is of the form ∫abf(x)f(x)+f(a+b−x)dx\int_a^b \frac{f(x)}{f(x) + f(a+b-x)} dx, which simplifies to b−a2\frac{b-a}{2}, resulting in 1.

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