$\int3x\cdot e^{-4x}dx$

$6\left(3-d\right)+2d$

$\int\frac{x^2+11}{\left(x^2+1\right)\left(x+1\right)}dx$

$\sqrt[4]{-246}$

$\frac{2x^3+16x^2+28x-8}{x+5}$

$\int\frac{x^4}{12}dx$

$\lim_{x\to0}\left(\frac{\ln\left(\cos\left(3x\right)\right)}{\ln\left(\cos\left(7x\right)\right)}\right)$