Sample Equations

x' + y² = z_i² (1)

$$-2 \, \ln \vert x-2\vert + 3 \, \ln \vert x-3\vert + C$$ (2)

$$y = k \, e^{x^2/2} - 1\;\;$$ (3)

$$\frac{dr}{dt} = \frac{1}{\pi}$$ (4)

$$[-1/\sqrt{3},0]\cup [1/\sqrt{3},+\infty[$$ (5)

$$\frac{\cos x}{2 \sqrt{\sin x}}$$ (6)

$$A = \int_0^1 \frac{\ln(x+1) \, \sqrt{x^2 + 2x + 2}}{x + 1} \, dx$$ (7)

$$\frac{1}{2} \int_0^{\pi/3} \sin^2 3\theta \; d\theta = \frac{\pi}{12}$$ (8)