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

$1-\cos^2x=\frac{\sin x\cos x}{\cot x}$

$39\cdot24$

$\csc^2\left(x\right)=\frac{1-\cos\left(x\right)^2}{1-2\cos\left(x\right)^2+\cos\left(x\right)^4}$

$\frac{dy}{dx}=\frac{1}{2}-x+2y;\:y\left(0\right)=1$

$\sqrt{\left(h+x\right)^2-4}$

$\lim_{x\to\left(0\right)}\left(e^{8x}-sin\left(x\right)\right)$