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In Friedmann-Lema\^itre-Robertson-Walker cosmology, it is sometimes possibleto compute analytically lookback time, age of the universe, and luminositydistance versus redshift, expressing them in terms of a finite number ofelementary functions. We classify these situations using the Chebyshev theoremof integration and providing examples.

When can we compute analytically lookback time, age of the universe, and luminosity distance?