$\frac{dy}{dx}=10xy-2x,\:y\left(0\right)=5$

$2^{x-7}=4$

$-3x^{-1}y^2.xy^{-1}$

$\int\frac{x-3}{\left(x^2+2x+2\right)\left(x-4\right)}dx$

$8\sin\left(0.4\right)=2+\frac{4}{\csc\left(0.4\right)}$

$\lim_{x\to\infty}\left(\frac{5x^3+6x^2+x+2}{x^3}\right)$

$\int\frac{16x^2}{\sqrt{36-x^2}}dx$