Imaginary part of An Squre Root Integration

82 Views Asked by At

I am looking for a particular form of an integral which some simplified version of it has the following form $$ \Im\int_{0}^{\infty} \frac{\sqrt{1+u^4-u^6}}{u^5}du. $$ Could someone gives some idea for that? It is better to learn me fishing because I may use it in different cases.