# How to integrate this function?

physicophysiology
Hello
I am studying Landau Mechanics (3rd ed.)

In chapter III Integration of the Equations of Motions
§15. Kepler's problem
page 36

M(angular momentum), m(mass), E(mechanical energy), and α are constant.

How to integrate it?

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Mentor
If you’re just trying to verify that’s it’s true then differentiate the integrated side to prove to yourself.

To integrate it though, I would use integral tables and look up a similar one. There is no shame in using this approach as there are many integrals that vex even the best folks.

A cheap book with integral tables is Schaums outlines on Math Tables and Formulas. It’s available on Amazon and is a great reference to keep around.

Mentor
I SOLVED IT