$\int2e^{2z}dz$

$\int_0^{\pi}4\sin\left(2x\right)dx$

$\lim_{x\to-1}\left(\frac{\ln\left(5x+6\right)-5x-5}{\left(x+1\right)\cdot\sin\left(4x+4\right)}\right)$

$80ab+5+28ab+21+34c$

$cot\:xtan^2x\:=\frac{sinx}{cosx}$

$\frac{1}{2}^{2x}=\frac{1}{8}^{10-x}$

$\int\frac{\cos\left(3x\right)}{\sin^5\left(3x\right)}dx$