KingNothing
- 880
- 4
How does one solve this integral?
[tex] \int {x * \left( {\sin x} \right)} ^{ - 1} dx[/tex]
[tex] \int {x * \left( {\sin x} \right)} ^{ - 1} dx[/tex]
The discussion centers around the integral of the function \( x \cdot \left( \sin x \right)^{-1} \), exploring methods for solving it, including the potential use of the Li function. The scope includes both analytical and numerical approaches to integration.
Participants express differing views on the solvability of the integral, with some suggesting numerical methods while others reference the Li function, indicating a lack of consensus on a straightforward analytical solution.
There is an implication that the integral's solution may depend on definitions and the nature of the functions involved, particularly regarding the classification of the antiderivative.