$\frac{\left(2\sin\left(x\right)\cos\left(x\right)\right)}{\left(\sin\left(x\right)+\cos\left(x\right)-1\right)}=\sin\left(x\right)+\cos\left(x\right)+1$

$\frac{\left(tan\theta\:+1\right)^2-sec^2\theta\:}{tan\theta\:}=2$

$\int\frac{\left(8\cdot z\right)\left(d\cdot z\right)}{\left(z^2+1\right)^2\left(z+1\right)}$

$\int\:x^2+\:x\:+\:3\:+\:\frac{5}{x\:-\:3}\:\:\:\:\:dx$

$-6+4\left(-7x-7\right)$

$\lim_{w\to0}\left(\frac{\left(x+w\right)x^2}{w}\right)$

$3a+2+4a$