$\frac{cos\:2x}{2\:sin\:2x\:+cos\:2x}=\frac{1}{2tan2t\:+1}$

$6e^{-2y}\frac{dy}{dx}=6e^{3x}$

$y^3+x^2=9$

$\frac{1}{3}\left(x^2+x-12\right)$

$tan^5x\cdot csc^2x\cdot sin^2x\cdot cot^2x$

$\int\frac{3}{x\sqrt{\left(x^2+25\right)}}dx$

$\log\left(x^3\right)+\log\left(x^6\right)-\log\left(\sqrt{x}\right)=25.5$