$\int\frac{x-2}{\left(x^2-1\right)\left(x+3\right)}dx$

$\int\left(\frac{4x^3}{\left(x^4-1\right)^2}\right)dx$

$cos^2x-sin^2x=1-2sin\left(x\right)$

$\frac{63m^8}{7m^4}$

$\frac{\sin x\cos x}{\tan x}=1-\sin^2x$

$-1-3\csc\left(x\right)=-7$

$f\left(x\right)=\sqrt[3]{x-1}+\frac{x-2}{2^{\left(x-1\right)}}$