You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "mean_confidence_interval", "description": "Calculates the confidence interval for a sample mean.", "parameters": {"std_dev": {"description": "The standard deviation of the sample.", "type": "float", "default": 0.95}, "sample_size": {"description": "The size of the sample.", "type": "int", "default": 0.95}, "mean": {"description": "The mean of the sample.", "type": "float"}, "confidence": {"description": "The desired confidence level. Default is 0.95.", "type": "float, optional"}}}, {"name": "trapezoidal_integration", "description": "Calculates the definite integral of a function using the trapezoidal rule.", "parameters": {"func": {"description": "The function to integrate, expressed as a string (e.g., \"x**2 + 2*x\").", "type": "str", "default": 10000}, "a": {"description": "The lower limit of integration.", "type": "float", "default": 10000}, "b": {"description": "The upper limit of integration.", "type": "float"}, "n": {"description": "The number of subdivisions for the trapezoidal approximation. Defaults to 10000.", "type": "int, optional"}}}, {"name": "circle_area", "description": "Computes the area of a circle given its radius.", "parameters": {"radius": {"description": "The radius of the circle.", "type": "float"}}}]
Find the definite integral of the function x^2 + 2x from -1 to 1 using 10,000 subdivisions, and also compute the area of a circle with a radius of 3.
user
assistant
[{"name": "trapezoidal_integration", "arguments": {"func": "x**2 + 2*x", "a": -1, "b": 1, "n": 10000}}, {"name": "circle_area", "arguments": {"radius": 3}}]