$\int\frac{\left(a^x-b^x\right)^2}{a^x\cdot b^x}dx$

$6-5z+8-4z+1$

$15-12+x-9-2x$

$\int\:\frac{2x}{x^2+4x+4}dx$

$4\left(x^3\right)y+\left(x^4\right)y'=\left(e^x\right)sin\left(e^x\right)$

$2\sin\left(x\right)\tan\left(x\right)-\sqrt{3}\tan\left(x\right)=0$

$\frac{26a^8b^5}{-13a^2b^3}$