$\frac{4x^2-8x+1}{x^3-x+6}$

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

$\int\frac{1}{x\sqrt{3x+4}}dx$

$b^3c^2,b=-4,c=5$

$\left(2a^3+3b^3\right)\left(2a^3-3b^3\right)$

$\int sen\left(4e^x\right)\cdot e^xdx$

$\left(8+7x\right)^4$