$\left(-38\right)\cdot7+100\cdot38$
$1+csc^2x\:cos^2x=csc^2x$
$g\left(x\right)=\ln\sqrt{\frac{2x+1}{x-3}}$
$\int8\ln\left(5x\right)dx$
$\frac{dy}{dx}=y^3+3y^2-4y$
$\int a^{-2}dx$
$\int\left(\frac{1}{x^2-2x-3}\right)dx$
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