Find the discriminant of the equation $\frac{5x^3+12x^2+14x+4}{\left(-1+\sqrt{-1}\right)\cdot \left(-1-\sqrt{-1}\right)}$

Compute the integral

$\int xdx$

Compute the integral

$\int\left(x\cdot\cos\left(2x^2+3\right)\right)dx$

Compute the integral

$\int x\left(x^2-3\right)dx$

Compute the integral

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

Compute the integral

$\int x^2\cos\left(2x\right)dx$

Compute the integral

$\int x^2\ln\left(x\right)dx$

Compute the integral

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