$\int\left(\frac{3x^3-5x^4+7}{11x^4}\right)dx$

$\int_0^1\frac{\left(x-1\right)}{\left(x-3\right)\:\left(x-2\right)}dx$

$\frac{x^3-x^2+2x^2-2}{x^2+1}$

$\int-3x^2\left(1-x^3\right)^{11}dx$

$\left(2x^4y^8+13\right)^2$

$\frac{dy}{dx}=\frac{2x}{3y^2},y\left(0\right)=0$

$f\left(x\right)=\ln\left(x+3x^2\right)^4$