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amsmath
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28
Why $ \int_0^{2\pi}\frac{\cos t - r}{1 - 2r\cos t + r^2}\,dt=0$ for $r\in[0,1)$
12
Calculating the integral with an undefined function f(x)
11
If $f : [a,b]\to\Bbb R$ is continuous, are there $x_1,x_2\in (a,b)$ such that $\tfrac{f(b)-f(a)}{b-a} = \tfrac{f(x_1)-f(x_2)}{x_1-x_2}$?
10
How do I prove that $|\det(A+B)|\leq2^n$ where $A,B$ are $n\times n$ unitary matrices?
9
How to find the limit of series? (What should I know?)