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

$\int_0^{12}\:\frac{7}{y^2-8y-153}dy$

$\left(\left(-18k-2\right)\log\left(11\right)\right)=\left(\left(78+k^2\right)\log\left(11\right)\right)$

$\left(3a^{\left(x+4\right)}+b^3x\right)\left(3a^{\left(x+4\right)}-b^3x\right)$

$\sqrt{3by^2}$

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

$\left(-2+4\right)^2-10$