Let f : R R be a continuous function. Then _ x / 4 4 _ 2 ^ ^ 2 x f(x) d x x^ 2 - ^ 2 16…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}\)be a continuous function. Then \[\lim _{x \rightarrow \pi / 4} \frac{\frac{\pi}{4} \int_{2}^{\sec ^{2} x} f(x) d x}{x^{2}-\frac{\pi^{2}}{16}}\] is equal to
- \(4 \mathrm{f}(2)\)
- \(f(2)\)
- \(2 \mathrm{f}(\sqrt{2})\)
- \(2 \mathrm{f}(2)\)
Answer
(D) 2 f (2)
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