Sample Equations

1. x′ + y^{2} = z_{i}^{2}

2. −2 ln |x − 2| + 3 ln |x − 3| + C

3. y = k e^{x^{2}/2} − 1

4. \frac{dr}{dt} = \frac{1}{π}

5. [−1/\sqrt{3}, 0] ∪ [1/\sqrt{3}, +∞[

6. \frac{cos x}{2\sqrt{sin x}}

7. A = ∫_{0}^{1} \frac{ln(x + 1) \sqrt{x^{2} + 2x + 2}}{x + 1} dx

8. \frac{1}{2} ∫_{0}^{π/3} sin^{2} 3θ dθ = \frac{π}{12}