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Contents 1 Integrals 2 Multiple integrals 3 Sums and products 4 Limits 5 Further reading Integrals Integral expression can be added using the \int_{lower}^{upper} command. Note, that integral expression may seems a little different in inline and display math mode. LaTeX code Output Integral $\int_{a}^{b} x^2 \,dx$ inside text $\int_{a}^{b} x^2 \,dx$   Open in Overleaf \documentclass{article} \title{Integrals, Sums and Limits} \author{Overleaf} \date{} \usepackage{amsmath} \begin{document} \maketitle \section{Integrals} Integral $\int_{a}^{b} x^2 dx$ inside text. \medskip 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 \\ \iiiint_V \mu(t,u,v,w) \,dt\,du\,dv\,dw \\ \idotsint_V \mu(u_1,\dots,u_k) \,du_1 \dots du_k \\ \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} Integrals, Sums and Limits lualatex var overleaf_api_span_element = document.currentScript.parentElement; var overleaf_api_a_element = overleaf_api_span_element.getElementsByClassName("overleaf_api_a")[0]; var overleaf_api_code_str = overleaf_api_span_element.getElementsByClassName("overleaf_api_code")[0].value; var overleaf_api_title_str = overleaf_api_span_element.getElementsByClassName("overleaf_api_title")[0].value; var overleaf_api_engine_str = overleaf_api_span_element.getElementsByClassName("overleaf_api_engine")[0].value; overleaf_api_a_element.href="https://www.overleaf.com/docs?" + "snip_name=" + encodeURIComponent(overleaf_api_title_str) + String.fromCharCode(38) + "engine=" + encodeURIComponent(overleaf_api_engine_str) + String.fromCharCode(38) + "snip=" + encodeURIComponent(overleaf_api_code_str) ; Multiple integrals To obtain double/triple/multiple integrals and cyclic integrals you must use amsmath and esint (for cyclic integrals) packages. LaTeX code Output \begin{gather*} \iint_V \mu(u,v) \,du\,dv \\ \iiint_V \mu(u,v,w) \,du\,dv\,dw \\ \iiiint_V \mu(t,u,v,w) \,dt\,du\,dv\,dw \\ \idotsint_V \mu(u_1,\dots,u_k) \,du_1 \dots du_k \end{gather*} $\oint_V f(s) \,ds$   Open in Overleaf var overleaf_api_thisspan_element = document.currentScript.parentElement; var overleaf_api_origspan_element = document.getElementsByClassName("overleaf_api_span_")[0]; var overleaf_api_a_element = overleaf_api_thisspan_element.getElementsByClassName("overleaf_api_a")[0]; var overleaf_api_code_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_code")[0].value; var overleaf_api_title_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_title")[0].value; var overleaf_api_engine_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_engine")[0].value; overleaf_api_a_element.href="https://www.overleaf.com/docs?" + "snip_name=" + encodeURIComponent(overleaf_api_title_str) + String.fromCharCode(38) + "engine=" + encodeURIComponent(overleaf_api_engine_str) + String.fromCharCode(38) + "snip=" + encodeURIComponent(overleaf_api_code_str) ; Sums and products Like integral, sum expression can be added using the \sum_{lower}^{upper} command. LaTeX code Output Sum $\sum_{n=1}^{\infty} 2^{-n} = 1$ inside text $\sum_{n=1}^{\infty} 2^{-n} = 1$ In similar way you can obtain expression with product of a sequence of factors using the \prod_{lower}^{upper} command. LaTeX code Output Product $\prod_{i=a}^{b} f(i)$ inside text $\prod_{i=a}^{b} f(i)$   Open in Overleaf var overleaf_api_thisspan_element = document.currentScript.parentElement; var overleaf_api_origspan_element = document.getElementsByClassName("overleaf_api_span_")[0]; var overleaf_api_a_element = overleaf_api_thisspan_element.getElementsByClassName("overleaf_api_a")[0]; var overleaf_api_code_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_code")[0].value; var overleaf_api_title_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_title")[0].value; var overleaf_api_engine_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_engine")[0].value; overleaf_api_a_element.href="https://www.overleaf.com/docs?" + "snip_name=" + encodeURIComponent(overleaf_api_title_str) + String.fromCharCode(38) + "engine=" + encodeURIComponent(overleaf_api_engine_str) + String.fromCharCode(38) + "snip=" + encodeURIComponent(overleaf_api_code_str) ; Limits Limit expression can be added using the \lim_{lower} command. LaTeX code Output Limit $\lim_{x\to\infty} f(x)$ inside text $\lim_{x\to\infty} f(x)$   Open in Overleaf var overleaf_api_thisspan_element = document.currentScript.parentElement; var overleaf_api_origspan_element = document.getElementsByClassName("overleaf_api_span_")[0]; var overleaf_api_a_element = overleaf_api_thisspan_element.getElementsByClassName("overleaf_api_a")[0]; var overleaf_api_code_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_code")[0].value; var overleaf_api_title_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_title")[0].value; var overleaf_api_engine_str = overleaf_api_origspan_element.getElementsByClassName("overleaf_api_engine")[0].value; overleaf_api_a_element.href="https://www.overleaf.com/docs?" + "snip_name=" + encodeURIComponent(overleaf_api_title_str) + String.fromCharCode(38) + "engine=" + encodeURIComponent(overleaf_api_engine_str) + String.fromCharCode(38) + "snip=" + encodeURIComponent(overleaf_api_code_str) ; Further reading For more information see Mathematical expressions Subscripts and superscripts Fractions and Binomials Display style in math mode