# 8 pi r

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 14 Limit of n-th root of $1/n$ 13 Evaluating the indefinite integral $\int \sqrt{\tan x} ~ \mathrm{d}{x}.$ 12 Evaluating the following integral: $\int \frac{x^2}{\sqrt{x^2 - 1}} \text{ d}x$ 11 solve for all integer solutions to the diophantine equation 10 Why isn't $(0,1]$ compact?

# 13,417 Reputation

 +35 Integrals related to the function $F(x) = \int_1^x (e^t/t )\, dt$ -2 Find the length of a shadow cast by a 24 foot tall tree. +10 Proof that the limit of a sequence is $e=2.71828\ldots$ +10 How to show the surjectivity of $f(x)=x^5$ on $\mathbb R$?

# 10 Questions

 3 Convergence of type $1/(kn+r)$ type series 1 circumradii of triangle IAB 0 First Sum of Zetas 0 finite sum of riemann function 0 “point earner” problem: cousin of AM-GM

# 193 Tags

 205 calculus × 193 71 sequences-and-series × 70 117 integration × 87 71 inequality × 57 110 real-analysis × 103 63 trigonometry × 51 101 limits × 66 42 elementary-number-theory × 36 92 algebra-precalculus × 73 38 indefinite-integrals × 12

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 Mathematics 13,417 rep 2525