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$f(x) = \\var{a}x - \\var{b}$

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$f(x) = \\frac{1}{\\var{c}}+ \\frac{2}{\\var{d}}x^2 - \\frac{3}{\\var{f}}x^3$

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$f(x) = e^\\var{g}$

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$f(x) = e^{\\var{g}x}$

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Antiderivatives

\n

rebel 

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rebelmaths

"}, "variable_groups": [], "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "statement": "

Find the most general antiderivatives of the functions. Use the letter C to represent an unknown constant. 

", "variables": {"a": {"name": "a", "templateType": "anything", "definition": "2*random(2..4)", "group": "Ungrouped variables", "description": ""}, "f": {"name": "f", "templateType": "anything", "definition": "random(4,5,7,8)", "group": "Ungrouped variables", "description": ""}, "b": {"name": "b", "templateType": "anything", "definition": "random(1..9 except a)", "group": "Ungrouped variables", "description": ""}, "c": {"name": "c", "templateType": "anything", "definition": "random(2..4)", "group": "Ungrouped variables", "description": ""}, "g": {"name": "g", "templateType": "anything", "definition": "random(2..5)", "group": "Ungrouped variables", "description": ""}, "d": {"name": "d", "templateType": "anything", "definition": "random(3,5,7)", "group": "Ungrouped variables", "description": ""}}, "extensions": [], "advice": "

Don't forget to include the unknown constant C.

", "tags": ["Rebel", "REBEL", "rebel", "rebelmaths"], "functions": {}, "type": "question", "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}, {"name": "Johnny Yi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2810/"}]}]}], "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}, {"name": "Johnny Yi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2810/"}]}