$\lim_{x\to0}\left(\frac{7x\left(ln\left(x\right)-1\right)+7}{\left(x-1\right)ln\left(x\right)}\right)$

$-3\left(2\frac{a^2}{6}\right)^2\left(\frac{5}{2b^2}\right)$

$x^3-16x^2+7x$

$\left(8-x\right)\left(6+x\right)$

$\int\left(2x\left(x^2+1\right)^{-5}\right)dx$

$\int\frac{1}{sinx+cosx-1}dx$

$\lim_{x\to1}\left(\frac{\ln\left(x\right)}{3^{ln\left(x\right)}-x}\right)$