$\lim_{x\to0}\left(\frac{ln\left(x+1\right)-asin\left(x\right)}{x^2}\right)$

$\int\left(\frac{\left(-15\right)}{\left(15x+12\right)^4}\right)dx$

$\int_2^6\left(\frac{x}{2}\:+\:1\right)dx$

$\frac{d}{dx}y\sqrt{x+4}=xy+8$

$\lim_{x\to\infty}\left(\frac{1}{\left(x^2+1\right)^{\frac{1}{2}}}\right)$

$p^2-pq-20pq$

$p^2+p-1$