$\int\left(-2x^{4n}\right)dx$

$\frac{\sec\left(w\right)}{\tan\left(w\right)+\cot\left(w\right)}=\sin\left(w\right)$

$\left(-e^{x^2}x+e^{\left(x^2+y\right)}x\right)dx+\left(e^y+e^{\left(x^2+y\right)}\right)dy=0$

$14x^2-12x^3+49x^4$

$\int x^2\cdot e^{-6x}dx$

$6x^2-12x$

$\int\frac{x^2+4}{x\left(x^2+1\right)\left(x-1\right)}dx$