15 What three odd integers have a sum of 30? 13 Solve $\left(\sqrt{4-\sqrt{15}}\right)^x+\left(\sqrt{4+\sqrt{15}}\right)^x=8$ 11 How to find a definite integral over a symmetric interval without finding the antiderivative? 9 What is the derivative of $\frac{x^{n+1}}{n+1}$? 9 What is $2^{7!}\bmod{2987}$

### Reputation (4,845)

 +25 How to show that the function $f(x) = \{x\}$ is continuous? +15 Find the value of this real integral by complex contour integral $\int _0 ^{2\pi} e^{\sin\theta} \sin(\cos \theta)d\theta$ +10 Abstract matrix to a high power +15 Concerning an identity related to the arithmetic mean

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### Tags (100)

 64 calculus × 24 29 discrete-mathematics × 8 47 elementary-number-theory × 15 28 integration × 12 44 summation × 9 27 sequences-and-series × 18 38 modular-arithmetic × 11 22 integers × 3 29 algebra-precalculus × 10 18 proof-verification × 9

### Bookmarks (102)

 925 Can I use my powers for good? [closed] 694 A short proof for $\dim(R[T])=\dim(R)+1$? 466 Is this Batman equation for real? [closed] 430 My son's Sum of Some is beautiful! But what is the proof or explanation? 85 How to prove that $\frac{\zeta(2) }{2}+\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}+\frac{\zeta (8)}{2^7}+\cdots=1$?

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