- #1
Emmanuel_Euler
- 142
- 11
what is the integral of cos(1/x) dx ??
The integral of cos(1/x) dx is not defined in terms of elementary functions. It can only be expressed in terms of special functions such as the Fresnel integral or the Dawson function.
The domain of the integral of cos(1/x) dx is all real numbers except for x = 0, as the function is undefined at x = 0.
No, there is no known closed form solution for the integral of cos(1/x) dx. It can only be expressed in terms of special functions.
The integral of cos(1/x) dx can be evaluated numerically using various numerical integration methods such as Simpson's rule, Gaussian quadrature, or Monte Carlo integration.
The graph of the integral of cos(1/x) dx is a non-elementary function that cannot be easily visualized. However, it oscillates between positive and negative values, with infinitely many oscillations as x approaches 0 from both sides.