$\left(3+y^2\right)\frac{dy}{dx}=10y+xy$
$\lim\:_{x\to\:\infty\:}\frac{x^4-1}{x^3-1}$
$\frac{\left(12x^3+52x^2-34x-37\right)}{\left(-2x^3+5x^2+3x-21\right)}$
$\int\:\frac{1}{senx+cosx}dx$
$46\infty$
$\int\frac{1}{\sqrt{t^2-25}}dt$
$\left(a^m+b^{2m}\right)^3$
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