What is the significance of quadrature in rigid body rotation?

[Rubyeye]

In rigid body rotation, there is some question.
First, problem give me Lagrangian.
And, I have to compute Hamiltonian.
Then, problem said that "Reduce the system to quadratures (i.e., write the solution in the form of a one dimensional integral whose integrand is an explicit function of the integration variable.) "

What does quadrature mean?

 

[wabbit]

It's an old-fashioned term for calculating an integral.
https://en.wikipedia.org/wiki/Quadrature_(mathematics)

 

[Rubyeye]

It's an old-fashioned term for calculating an integral.
https://en.wikipedia.org/wiki/Quadrature_(mathematics)

Thank you.