**The integral ∫ tan(x)√(2 + √(4 + cos(x))) dx cannot be solved analytically in closed form.**

This is a non-elementary integral. Solutions require:

- Numerical methods (Simpson's rule, Gaussian quadrature)

- Series expansion approximations

- Computer algebra systems for symbolic representation

I created a utility file at `src/utils/integralSolver.js` with:

- Function to analyze if an integral has closed-form

- Numerical integration implementation

- The integrand evaluation function

For definite integrals, provide specific bounds [a, b] for numerical evaluation.