<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt]{article}
\newcommand\ds{\displaystyle}
\begin{document}

\parindent=0pt

QUESTION

Find $\ds\int \frac{dx}{\sqrt{x^2+2x}}\,dx$.

\bigskip


ANSWER


$\ds\int\frac{dx}{\sqrt{x^2+2x}}\,dx
=\int\frac{dx}{\sqrt{(x+1)^2-1^2}}\,dx=\cosh^{-1}(x+1)+c$



\end{document}
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