$\int\left(\left(2x+8\right)\left(x^2+8x+9\right)^4\right)dx$

$\log\left(5x+7\right)=\log\left(3x+5\right)$

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

$\frac{4}{5y-3}=\frac{2}{3y+7}$

$\int\frac{4x^2+27x+49}{\left(x+3\right)^3}dx$

$\frac{5x^2-8x-9}{x+1}$

$\frac{1}{2cos^{\left(2\right)}\left(x\right)cos^{\left(2\right)}\left(2x\right)}$