$\lim_{x\to1}\left(\frac{3}{x}\right)^{\frac{1}{x}}$

$\left(3x^2-2xy\right)dx+\left(4y^2-x^2-3\right)dy=0$

$-189\:_{\:-21}$

$cot^{\left(2\right)}xcos^{\left(2\right)}x=cot^{\left(2\right)}x-cos^{\left(2\right)}x$

$f\left(x\right)=\sin^{-1}\left(\frac{1}{x}-1\right)$

$x+\frac{3}{2}>-5$

$-1\:-2744$