$\frac{2x^5-4x^4}{x^2+1}$

$\frac{d}{dx}\left(\log_{10}\left(x^5\:+\:9\right)\right)$

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

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

$\int x\left(x+6\right)^4dx$

$\left(-2\right)\left(4-2a+3x\right)-\left(-5\right)\left(-9+5a-x\right)$

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