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": "merge_sorted_lists", "description": "Merges two sorted lists into a single sorted list.", "parameters": {"list1": {"description": "The first sorted list.", "type": "List[int]"}, "list2": {"description": "The second sorted list.", "type": "List[int]"}}}, {"name": "is_power_of_two", "description": "Checks if a number is a power of two.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}, {"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"}}}]
Merge the sorted lists [5, 10, 15] and [6, 12, 18] into a single sorted list. Also, verify if 32 and 64 are powers of two, and calculate the definite integral of the function 'x**4 + 2*x' from 0 to 2.
user
assistant
[{"name": "merge_sorted_lists", "arguments": {"list1": [5, 10, 15], "list2": [6, 12, 18]}}, {"name": "is_power_of_two", "arguments": {"num": 32}}, {"name": "is_power_of_two", "arguments": {"num": 64}}, {"name": "trapezoidal_integration", "arguments": {"func": "x**4 + 2*x", "a": 0, "b": 2}}]