$\lim_{x\to-\frac{\pi}{2}}\left(\tan^2\left(x\right)\left[1-\sin\left(x\right)\right]\right)$

$\frac{1}{\sec\left(a\right)-\tan\left(a\right)}$

$\left(3m\:+\:1\right)^2$

$\left(\frac{1}{y^2}-\frac{1}{x^2}\right)\left(\frac{1}{y^4}+\frac{1}{y^2x^2}+\frac{1}{x^4}\right)$

$\frac{dy}{dx}=\frac{x^5}{\left(10+x^6\right)y}$

$3v=72-5v$

$\int6x^2\ln\left(x^3\right)dx$