Riemann sum limit with sin pi x squared

2050SpecialistCalculusSeries

66th ROMANIAN MATHEMATICAL OLYMPIAD

$$ \lim_{n \to \infty} \frac{1}{n} \sum_{k=0}^{n-1} k \int_{\frac{k}{n}}^{\frac{k+1}{n}} \sin(\pi x^2) dx. $$

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2050SpecialistCalculusSeries

66th ROMANIAN MATHEMATICAL OLYMPIAD

$$ \lim_{n \to \infty} \frac{1}{n} \sum_{k=0}^{n-1} k \int_{\frac{k}{n}}^{\frac{k+1}{n}} \sin(\pi x^2) dx. $$

0 students attempted0% solvedRating 2050