$\int\left(x^2sin\left(x^3+7\right)\right)dx$

$225x^2-30x+1$

$\int\left(\frac{x^2-x+4}{\left(x+3\right)\left(x-3\right)}\right)dx$

$8x^3+16y^2$

$\frac{dx}{dt}=\left(1-x\right)sin\left(t\right)$

$4y^3=6x^2+1$

$\sec\left(\arctan\left(\frac{\sqrt{x^2\:-9}}{3}\right)\right)$