How to calculat the Integral ?

Hello evry body;

How to calculate the integral of this formula without the derivative. knowing that (A) is a vector function of (theta) and (B) is a function of (theta) and (time).

Thank's

[John D'Errico]

Edit made so the subject actually reflects your question, instead of asking to calculate an integer. This MAY help someone to find you who is interested in helping you to compute an integral, instead of computing an integer.

[Joel Van Sickel]

can you provide a reference to where this equation is from? how are theta and thetam related?