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\documentclass[]{article} \title{Integrals, Sums and Limits} \usepackage{esint} \usepackage{amsmath} \date{} \author{Rakshit Rabugotra} \begin{document} \maketitle \section{Integrals} Integral \(\int_{a}^{b} x^2 \,dx\) inside text. ~\\ The same integral on display: \[int_{a}^{b} x^2 \,dx\] and multiple integrals: \begin{gather*} \iint_V \mu(u, v) \,du\,dv \\ \iiint_V \mu(u, v, w) \,du\,dv\,dw \\ \oint_V f(s) \,ds \end{gather*} \section{Sums and products} Sum \(\sum_{n=1}^{\infty} 2^{-n} = 1\) inside text.~\\ The same sum on display: \[\sum_{n=1}^{\infty} 2^{-n} = 1\] Product \(\prod_{i=a}^{b} f(i)\) inside text. The same product on display: \[\prod_{i=a}^{b} f(i)\] \section{Limits} Limit \(\lim_{x\to\infty} f(x)\) inside text.~\\ The same limit on display: \[\lim_{x\to\infty} f(x)\] \end{document}
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