$xy^2\:dy=\left(x^3+y^3\right)dx$
$c^2-\frac{2c}{5}$
$\frac{12}{-12}$
$\frac{10}{x}-\frac{12}{x-3}+4$
$\frac{2x^2-6x+5}{x+2}$
$\int\left(\frac{\sin\left(3x\right)}{\sqrt{2+\cos\left(3x\right)}}\right)dx$
$\int\frac{csc\sqrt{x}\cdot cot\sqrt{x}}{\sqrt{x}}dx$
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