$\lim\:_{x\to\:\infty\:}\left(\left(4^{\frac{1}{x}}-3^{\frac{1}{x}}\right)^x\right)$

$\csc^42x\:-\:4=\:0$

$\left(26+5-19\right)-\left(4-5\right)-6-\left(3+11+12\right)-16$

$\int\frac{36x^{4}-109x^{2}+25}{3x-5}dx$

$\frac{2+2\sqrt{2}\sqrt{i}}{1+\sqrt{2\sqrt{i}}}$

$\int\left(\frac{1}{\sqrt{x}\sqrt{1-x}}\right)dx$

$10a^2b^3c-15a^4bd^3$