Symbolic Mathematics

Compute derivatives symbolically using chain rule, product rule, and quotient rule. Supports trigonometric, exponential, and logarithmic functions.

Symbolic antiderivatives for polynomials, trig, inverse trig (arcsin, arccos, arctan), hyperbolic (sinh, cosh, tanh), exponentials, and logarithms. Integration by parts with LIATE heuristic. Numerical methods: Adaptive Simpson, Gauss-Kronrod, Romberg, Monte Carlo.

Solve linear, quadratic, polynomial, and transcendental equations. Automatic method selection with support for complex numbers and multiple solutions.

Algebraic simplification with expand, factor, and substitute operations. Includes identity rules, constant folding, and polynomial manipulation.