I have a double integral that has the following form: $\int\limits_0^{2\pi} \int\limits_0^\pi\mu(\theta) \exp(\tau\sec(\theta)) p(\theta, \phi) B(\theta, \phi) \,d\theta\,d\phi$
I know that the part $\int\limits_0^{2\pi} \int\limits_0^{\pi} B(\theta, \phi) \,d\theta\,d\phi$ is equal to, let us say $0.5$.
Is there a way to take the part $\int\limits_0^{2\pi} \int\limits_0^{\pi}B(\theta, \phi) \,d\theta\,d\phi$ from the first equation? I can't treat it like a constant, right? I mean like this $0.5 \int\limits_0^{2\pi} \int\limits_0^\pi\mu(\theta) \exp(\tau\sec(\theta)) p(\theta, \phi) \,d\theta\,d\phi$