44 Is there a function whose antiderivative can be found but whose derivative cannot? 35 What are some examples of when Mathematics 'accidentally' discovered something about the world? 26 How to approach the ODE $y'+\sin(x+y)=\sin(x-y)$ 16 What's wrong with this logarithm calculation? 16 Divisibility by 37 .

### Reputation (22,532)

 +10 Can we determine if a complex number is greater than another? +10 Integrating composite functions by a general formula? -2 Solving limits of a sine wave $\lim_{x\to+\infty}\frac{\sin(x)}{x}$ +10 If $\frac{\log a}{b-c}=\frac{\log b}{c-a}=\frac{\log c}{a-b}$ show that $a^a \cdot b^b\cdot c^c=1$ .

### Questions (65)

 16 Prove that $e>2$ geometrically. 8 How does curl relate to rotation? 8 Anomalous behaviour of a particular limit 6 Show that the sequence {$\sqrt{5},\sqrt{5+\sqrt{5}},\sqrt{5+\sqrt{5+\sqrt{5}}},…$} is convergent using monotone convergence theorem 5 Prove that $\pi>3$ using geometry

### Tags (243)

 480 calculus × 277 125 trigonometry × 54 271 algebra-precalculus × 132 108 limits × 56 223 integration × 105 105 functions × 43 134 sequences-and-series × 82 99 ordinary-differential-equations × 61 128 derivatives × 54 94 elementary-number-theory × 46