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\begin{document}

\begin{center}
{\Large \textbf{Matematika A1 építőkari hallgatóknak}\\
Integrálás gyakorlófeladatok (2006.~10.~04.)}\\
(gyak. vez.: Rudas Anna)
\end{center}

\begin{enumerate}

\item $\int x^2(x^2-1)\mathrm{d}x$

\item $\int \frac{1}{x^2}\mathrm{d}x$

\item $\int \frac{\sqrt{x}-x+x^4}{x^2}\mathrm{d}x$

\item $\int \frac{(x+1)(x^2-3)}{3x^2}\mathrm{d}x$

\item $\int \frac{x^2-4x+7}{x-2}\mathrm{d}x$

\item $\int (2x+3\sqrt{x}+\sqrt[3]{x+1}) \mathrm{d}x$

\item $\int \frac{3}{2x+5} \mathrm{d}x$

\item $\int \frac{3x+10}{2x+5}\mathrm{d}x$

\item $\int \frac{3}{2x^2+5}\mathrm{d}x$

\item $\int \frac{3x}{2x^2+5}\mathrm{d}x$

\item $\int \frac{3x+10}{2x^2+5}\mathrm{d}x$

\item $\int \frac{3x^2}{2x+5}\mathrm{d}x$

\item $\int \frac{3x^2}{2x^2+5}\mathrm{d}x$

\item $\int \frac{3}{\sqrt{2x+5}}\mathrm{d}x$

\item $\int \frac{3x}{\sqrt{2x+5}}\mathrm{d}x$

\item $\int \frac{3}{\sqrt{2x^2+5}}\mathrm{d}x$

\item $\int \frac{3x}{\sqrt{2x^2+5}}\mathrm{d}x$

\item $\int \frac{3x^2+4x+7,5}{\sqrt{2x^2+5}}\mathrm{d}x$

\item $\int (x^5+5^x)\mathrm{d}x$

\item $\int (4\sin x-3\cos x)\mathrm{d}x$

\item $\int \tan x\mathrm{d}x$

\item $\int \tan ^2 x\mathrm{d}x$

\item $\int \frac{\cos 2x}{\cos x-\sin x}\mathrm{d}x$

\item $\int \frac{1}{\sinh x+\cosh x}\mathrm{d}x$

\item $\int \sin ^2 x\mathrm{d}x$

\item $\int \frac{e^x}{e^x+11}\mathrm{d}x$

\item $\int \frac{\cos 3x}{8+\sin 3x}\mathrm{d}x$

\item $\int \frac{1}{x(\ln x+2003)}\mathrm{d}x$

\item $\int x\sqrt{1-x^2}\mathrm{d}x$

\item $\int \frac{x}{\sqrt{x^2+1}}\mathrm{d}x$

\item $\int \frac{\cos x}{\sqrt{\sin x}}\mathrm{d}x$

\item $\int \frac{\sqrt{\ln x}}{x}\mathrm{d}x$

\item $\int \sqrt[3]{\cos ^7 x}\sin x\mathrm{d}x$

\item $\int e^{-x}\mathrm{d}x$

\item $\int 5^{2-3x}\mathrm{d}x$

\item $\int e^{\sin x}\cos x\mathrm{d}x$

\item $\int x\sqrt{25+x^2}\mathrm{d}x$

\item $\int \frac{14}{(6-4x)^7}\mathrm{d}x$

\item $\int \frac{\ln x}{x}\mathrm{d}x$

\item $\int x\sin 3x\mathrm{d}x$

\item $\int x\sin x\cos x\mathrm{d}x$

\item $\int (x^2-1)\sin x\mathrm{d}x$

\item $\int \ln x\mathrm{d}x$

\item $\int \ln^2 x\mathrm{d}x$

\item $\int x^2\ln x\mathrm{d}x$

\end{enumerate}

\end{document}
