$\int\frac{1}{2}sin\left(2x\right)dx$
$10y^2-xy^2=x^3$
$4\ln\left(x+3\right)=12$
$\int_0^1e^{-2x}dx$
$\frac{1}{3^{4n+1}}$
$\int_4^xe^{3u}du$
$\left(4-x\right)\left(4+2x\right)\left(4-x\right)$
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