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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1
If f(x)=∫xx21(log⁡t)2dt,x≠0,x≠1f(x)=\int\limits_{x}^{x^2} \frac{1}{(\log t)^2} d t, x \neq 0, x \neq \mathbb{1} then f(x)f(x) is monotomically
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Correct option: A
Increasing on (2,∞)(2, \infty)
The correct answer is A (Increasing on (2,∞)(2, \infty)) because the derivative f′(x)f'(x) is positive for x>2x > 2, indicating that f(x)f(x) is increasing on that interval.

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