What will be the integration of sqrt( cosec x ) with respect to x.?

Answer 1

There is no closed form solution to your integral. For known limits, you can integrate this numerically or you can expand it into a Taylor series of any number of terms and integrate term by term to get a polynomial to approximate your answer. Doing that, I get:

2sqrt(x) + (x^(5/2))/30 + (x^(9/2))/720 + 61(x^(13/2))/786240 + 1261 (x^(17/2))/246758400 + 79 (x^(21/2))/212889600.......

Answer 2

The website below has an excellent integrating feature and will integrate any function you can throw at it.