$\int\:8e^{\frac{t}{4}}\sin\:\left(2t\right)dt$

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

$\left(z+2\right)^2\left(z-2\right)^2$

$\int2\sin\left(x\right)\cos^2\left(x\right)-\sin^3\left(x\right)dx$

$\sec^230+\cos^230$

$\int\left(\frac{1}{9x+1}\right)ds$

$6\left(2x+1\right)^2-2\left(2x+1\right)$