<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 $\ds\int\frac{x^2}{x^2+1}\,dx$.

\bigskip

ANSWER

$\ds\int\frac{x^2}{x^2+1}\,dx= \int\frac{(x^2+1)-1}{x^2+1}\,dx=
\int\left(1-\frac{1}{x^2+1}\right)\,dx=x-\tan^{-1}x+c$




\end{document}
</pre></body></html>