\[
\int_a^bu\frac{d^2v}{dx^2}\,dx
=\left.u\frac{dv}{dx}\right|_a^b
-\int_a^b\frac{du}{dx}\frac{dv}{dx}\,dx.
\]

testing latex 

\[
\iint xy^2\,dx\,dy =\frac{1}{6}x^2y^3,
\]

testing latex 

\iint xy^2\,dx\,dy =\frac{1}{6}x^2y^3

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