- Geometry one math problem?

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Is there a pattern in the plane that has symmetry of scale but no rigid symmetries? If so, describe this pattern in detail. If not, why.? Does Nyx like his coffee black, or does he take it with cream and sugar or what? How do I write out: minus I-H-R-D sine D-T equals minus D squared psi D-X squared plus V of X? Help, double integrals, I cant get answer:
∫[from 0 to infinity] (tan−1(5x)−tan−1(2x))/(x) dx. I got:
∫[from 2 to 5] (1/(1+(xy)^2)) dy.? Critical equipment must have non-critical spares?