======T24======
[[http://math.feld.cvut.cz/mt/txtd/3/txc3db3c.htm|Metodou]] [[cs>per partes]] najděte [[cs>primitivní funkce]]:

\( (f g)' = f'g + f g' \)
pak
\( \int f g' dx = f g  - \int f' g \) 

=====307.=====
\( \int x \ln x \,dx \)
[[wa> integrate x ln x dx]] [[stepbystep#T307]]

=====308.=====
\( \int \ln x \,dx \)
[[wa> integrate ln x dx ]] [[stepbystep#T308]]

=====309.=====
DELETEME \( \int \sqrt{x} \ln^2 x \,dx \)
[[wa>integrate  sqrt x ln^2 x dx ]]

=====310.=====
DELETEME \( \int \frac{\ln^2 x}{x^2\sqrt{x}} \,dx \)
[[wa>integrate (ln^2 x) / (x^2 sqrt x) dx ]]

=====311.=====
\( \int \ln^2 x \,dx \)
[[wa> integrate ln^2 x dx ]]

2krát per-partes: f = ln^x, dg = dx, df= 2 ln x 1/x dx, g = x, druhá stejná jako [[#307]], viz [[stepbystep#T311]]

=====312.=====
\( \int xe^{−x} \,dx \)
[[wa> integrate x e^-x dx ]] viz [[stepbystep#T312]]

=====313.=====
DELETEME \( \int x \sin^2 x \,dx  \)
[[wa>integrate x sin^2 x dx ]]

=====314.=====
DELETEME \( \int x^2 \sin 2x \,dx \)
[[wa>integrate x^2 sin 2x dx ]]

http://math.feld.cvut.cz/mt/txtd/3/txc3db3.htm