$\int\frac{1}{z\sqrt{9-z^2}}dz$

$\int x^2e^{30x}dx$

$\int t^3e^{-t}dt$

$a=\left(2x+3\right)^{2}-\left(2x-3\right)^{2}+\left(3x-4\right)^{2}-8x^{2}-16$

$y'=\frac{6x-12}{x^2},y\left(1\right)=20$

$y=\ln\left(\sqrt{\frac{1+\sin\left(5x\right)}{1-\sin\left(5x\right)}}\right)$

$\left(-9x+1\right)\left(-9x-1\right)$