$\int\sin^4\left(x\right)+\int-\sin\left(x\right)^6dx$

$1+\frac{1}{1}$

$\lim_{x\to1}\:\:\:x^2-1$

$\lim_{x\to3}\sqrt{\frac{x-1-\sqrt{2}}{\sqrt{2}-\sqrt{3}}}$

$\frac{1}{4}=\frac{3}{x}$

$\lim_{x\to5}\left(\frac{x^2-25}{x^2-125}\right)$

$\frac{3a^5-11a^3-3a^2+2}{4a^2-2}$