calculate mathematical expressions using the sympify function from sympy, parse and compute the input mathematical expression string, supports direct calls to SymPy functions (automatically recognizes x, y, z as symbolic variables)
Parameters:
expression (str): Mathematical expression, e.g., "223 - 344 * 6" or "sin(pi/2) + log(10)".Replace special symbols with approximate values, e.g., pi → 3.1415"
Example expressions:
"2 + 3*5" # Basic arithmetic → 17
"expand((x + 1)2)" # Expand → x² + 2x + 1
"diff(sin(x), x)" # Derivative → cos(x)
"integrate(exp(x), (x, 0, 1))" # Definite integral → E - 1
"solve(x2 - 4, x)" # Solve equation → [-2, 2]
"limit(tan(x)/x, x, 0)" # Limit → 1
"Sum(k, (k, 1, 10)).doit()" # Summation → 55
"Matrix([[1, 2], [3, 4]]).inv()" # Matrix inverse → [[-2, 1], [3/2, -1/2]]
"simplify((x2 - 1)/(x + 1))" # Simplify → x - 1
"factor(x2 - 2*x - 15)" # Factorize → (x - 5)(x + 3)
"series(cos(x), x, 0, 4)" # Taylor series → 1 - x²/2 + x⁴/24 + O(x⁴)
"integrate(exp(-x*2)*sin(x), (x, -oo, oo))" # Complex integral
"solve([x**2 + y*2 - 1, x + y - 1], [x, y])" # Solve system of equations
"Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]).eigenvals()" # Matrix eigenvalues
Returns:
str: Calculation result. If the expression cannot be parsed or computed, returns an error message (str).