$\int\:\sqrt[6]{7\cdot\:\:tan\left(6x+2\right)+6}\left(294\cdot\:\:sec\left(6x+2\right)^2\right)dx$

$2xydx+\left(y^2+3x^2\right)dy=0$

$\sin\left(x\right)tan\left(x\right)+cos\left(x\right)=\tan\left(x\right)$

$-72ax\:+87ax\:-\:101ax$

$\left(\sin\right)^2t-\sin t=0$

$\left|6x^2+7x\right|5$

$\int\frac{3}{4}x^{3}e^{\frac{x}{2}}dx$