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": "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": "calculate_card_game_probability", "description": "Calculate the probability of drawing a certain number of desired cards from a deck.", "parameters": {"total_cards": {"description": "Total number of cards in the deck.", "type": "int"}, "desired_cards": {"description": "Number of cards in the deck that satisfy the conditions.", "type": "int"}, "cards_drawn": {"description": "Number of cards drawn from the deck.", "type": "int"}}}]
Can you find the integral of 'x**4 - 4*x**2 + 1' from -3 to 3? By the way, how likely is it to draw 2 hearts from a deck of 52 cards if I draw 4 cards?
user
assistant
[{"name": "trapezoidal_integration", "arguments": {"func": "x**4 - 4*x**2 + 1", "a": -3, "b": 3, "n": 10000}}, {"name": "calculate_card_game_probability", "arguments": {"total_cards": 52, "desired_cards": 13, "cards_drawn": 4}}]