$\frac{1+tan^2\left(x\right)}{tan\left(x\right)}=sec\left(x\right)csc\left(x\right)$

$\int\frac{48}{x^2\left(\sqrt{x^2+16}\right)}dx$

$9\left(\frac{x}{3}-1\right)^8$

$\int\frac{5x-2}{x^2-8x+26}dx$

$4x^2\:-12x-16y+41\:=\:0$

$\int\left(\frac{e^{3x}}{100+e^{3x}}\right)dx$

$2\sin^2\left(x\right)+5\sin\left(x\right)+2$