defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Integral Calculus Definite Integrals
If f is a continuous function, then \(\lim\limits_{n \to \infty} \sum_{r = 0}^{n - 1} \frac{1}{n}f(\frac{r}{n})\) can be expressed as-
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\(\int_0^1\) xf(x) dx
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\(\int_0^1 f (^1/_x)\) dx
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\(\int_0^1 \)f(x) dx
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\(\int_0^1 {}^1/_x f (^1/_x)\) dx