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\begin{center}
{\Large \bf Matematika A1b 2006/2007 ősz\\
12. gyakorlat: Parciális integrálás és helyettesítéses integrálás
}
\end{center}

Számítsuk ki a következő határozatlan integrálokat!
\begin{enumerate}

\item $\displaystyle\int x\cos x\dx$
\item $\displaystyle\int(3x^2+x-1) \cos(2x+1)\dx$
\item $\displaystyle\int(x^3-1)e^x\dx$
\item $\displaystyle\int\ln x\dx$
\item $\displaystyle\int x^2 \ln x \dx$
\item $\displaystyle\int e^{2x-1} \cos 3x\dx$
\item $\displaystyle\int\frac{e^x}{e^{-x}+1}$
\item $\displaystyle\int\sqrt{1-x^2}\dx$
\item $\displaystyle\int\sqrt{3 - 2x - x^2}\dx$
\item $\displaystyle\int\frac{2^x}{2^{-x}+1}$
\item $\displaystyle\int\frac{2e^x+1}{2\ch x-2}$

\end{enumerate}
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