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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 

\n

rebelmaths

", "licence": "Creative Commons Attribution 4.0 International"}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "variable_groups": [], "advice": "

Don't forget to include the unknown constant C.

", "variables": {"d": {"description": "", "templateType": "anything", "definition": "random(3,5,7)", "name": "d", "group": "Ungrouped variables"}, "f": {"description": "", "templateType": "anything", "definition": "random(4,5,7,8)", "name": "f", "group": "Ungrouped variables"}, "g": {"description": "", "templateType": "anything", "definition": "random(2..5)", "name": "g", "group": "Ungrouped variables"}, "a": {"description": "", "templateType": "anything", "definition": "2*random(2..4)", "name": "a", "group": "Ungrouped variables"}, "b": {"description": "", "templateType": "anything", "definition": "random(1..9 except a)", "name": "b", "group": "Ungrouped variables"}, "c": {"description": "", "templateType": "anything", "definition": "random(2..4)", "name": "c", "group": "Ungrouped variables"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "rulesets": {}, "statement": "

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

", "name": "cormac's copy of Antiderivatives", "functions": {}, "type": "question", "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}]}]}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}]}