On a Certain Integral Over a Triangle

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We study integrals over the triangle with vertices (1,0), (0,1), (1,1) that give linear combinations of multiple zeta values.
v2: a remark and corrollary are added. They concern the representation of the integral and multiple zeta values with the help of only ordinary zeta values. v3: The typo in the definition for H_l is corrected. A new paragraph is added after Corollary

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