Steven
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### Questions (15)

 10 Sigma algebra and algebra difference 9 Evaluate $\int_0^\pi xf(\sin x)dx$ 7 Cutting cake into 5 equal pieces 5 Is $f(x) = |\arctan(x)|$ a norm on $\mathbb{R}$? 4 Show $\int_\frac{1}{3}^\frac{1}{2}\frac{\operatorname{artanh}(t)}{t}dt=\int_{\ln 2}^{\ln 3}\frac{u}{2\sinh u}du$

### Reputation (386)

 +10 Evaluate $\int_0^\pi xf(\sin x)dx$ +20 Sigma algebra and algebra difference +5 Show $\int_\frac{1}{3}^\frac{1}{2}\frac{\operatorname{artanh}(t)}{t}dt=\int_{\ln 2}^{\ln 3}\frac{u}{2\sinh u}du$ +5 Is $d_1(x,y)=2|x-y|$ a metric space?

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### Tags (15)

 0 functional-analysis × 4 0 analysis × 2 0 metric-spaces × 4 0 banach-spaces 0 measure-theory × 3 0 calculus 0 probability-theory × 3 0 definite-integrals 0 integration × 2 0 lp-spaces

### Accounts (3)

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