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": "integrate", "description": "Calculate the area under a curve for a specified function between two x values.", "parameters": {"function": {"description": "The function to integrate, represented as a string. For example, 'x^3'", "type": "str", "default": "trapezoid"}, "start_x": {"description": "The starting x-value to integrate over.", "type": "int", "default": "trapezoid"}, "end_x": {"description": "The ending x-value to integrate over.", "type": "int"}, "method": {"description": "The method of numerical integration to use. Choices are 'trapezoid' or 'simpson'.", "type": "str"}}}, {"name": "find_kth_smallest_number", "description": "Finds the kth smallest number in a list.", "parameters": {"nums": {"description": "The list of numbers.", "type": "List[int]"}, "k": {"description": "The position (1-based index) of the smallest number to find.", "type": "int"}}}, {"name": "batting_average", "description": "Calculates the batting average of a baseball player based on the number of hits and at-bats.", "parameters": {"num_hits": {"description": "The number of hits.", "type": "int", "default": 3}, "num_at_bats": {"description": "The number of at-bats.", "type": "int", "default": 3}, "precision": {"description": "The number of decimal places to round the batting average. Defaults to 3.", "type": "int, optional"}}}, {"name": "is_perfect_square", "description": "Checks if a number is a perfect square.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}]
Calculate the area under the curve for the function y = 1/x between x = 1 and x = 2 using the Simpson's rule.
user
assistant
[{"name": "integrate", "arguments": {"function": "1/x", "start_x": 1, "end_x": 2, "method": "simpson"}}]