$\\int\\limits_\\var{a}^\\var{b}{\\simplify{x^{c}}}dx =$
", "ungrouped_variables": ["a", "b", "c", "correctAnswer", "Choice1", "Choice2", "Choice3", "choices", "noneofthesemarks", "choicemarks", "marks", "shuffledchoices", "order"], "advice": "", "parts": [{"showFeedbackIcon": true, "type": "1_n_2", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "marks": 0, "showCorrectAnswer": true, "minMarks": 0, "scripts": {}, "maxMarks": 0, "choices": ["$\\simplify{{shuffledchoices[0]}}$
", "$\\simplify{{shuffledchoices[1]}}$
", "$\\simplify{{shuffledchoices[2]}}$
", "$\\simplify{{shuffledchoices[3]}}$
", "None of these
"], "displayType": "radiogroup", "shuffleChoices": false, "matrix": "marks"}], "variables": {"c": {"description": "", "group": "Ungrouped variables", "name": "c", "templateType": "anything", "definition": "random(-3..-2)"}, "Choice1": {"description": "", "group": "Ungrouped variables", "name": "Choice1", "templateType": "anything", "definition": "expression('(' + b^(-(c+1)) + '-' + a^(-(c+1)) + ')/(' + (c+1)(b^(-(c+1)))(a^(-(c+1))) + ')')"}, "correctAnswer": {"description": "", "group": "Ungrouped variables", "name": "correctAnswer", "templateType": "anything", "definition": "expression('(' + a^(-(c+1)) + '-' + b^(-(c+1)) + ')/(' + (c+1)(b^(-(c+1)))(a^(-(c+1))) + ')')"}, "b": {"description": "", "group": "Ungrouped variables", "name": "b", "templateType": "anything", "definition": "a+random(1..3)"}, "order": {"description": "", "group": "Ungrouped variables", "name": "order", "templateType": "anything", "definition": "//the order in which to display the choices - pick a random permutation of [0,1,2,3,4]\n deal(4)"}, "marks": {"description": "", "group": "Ungrouped variables", "name": "marks", "templateType": "anything", "definition": "//marks to award for each choice, then append the marks for \"none of the above\"\n map(choicemarks[j],j,order)+noneofthesemarks"}, "choicemarks": {"description": "", "group": "Ungrouped variables", "name": "choicemarks", "templateType": "anything", "definition": "//marks to award for each of the above choices\n [1,0,0,0]"}, "noneofthesemarks": {"description": "", "group": "Ungrouped variables", "name": "noneofthesemarks", "templateType": "anything", "definition": "//marks to award for selecting \"none of these\"\n 0"}, "a": {"description": "", "group": "Ungrouped variables", "name": "a", "templateType": "anything", "definition": "random(1..3)"}, "shuffledchoices": {"description": "", "group": "Ungrouped variables", "name": "shuffledchoices", "templateType": "anything", "definition": "//the choice texts, in the shuffled order\n map(choices[j],j,order)"}, "choices": {"description": "", "group": "Ungrouped variables", "name": "choices", "templateType": "anything", "definition": "//choices, apart from \"none of the above\"\n [correctAnswer,Choice1,Choice2,Choice3]"}, "Choice3": {"description": "", "group": "Ungrouped variables", "name": "Choice3", "templateType": "anything", "definition": "expression('(' + b^(-(c+1)) + '-' + a^(-(c+1)) + ')/(' + (-(c+1))+ ')')"}, "Choice2": {"description": "", "group": "Ungrouped variables", "name": "Choice2", "templateType": "anything", "definition": "expression('(' + a^(-(c+1)) + b^(-(c+1)) + ')/(' + (c+1)(b^(-(c+1)))(a^(-(c+1))) + ')')"}}, "functions": {}, "name": "Q23", "extensions": [], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": ""}, "rulesets": {}, "type": "question", "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}]}], "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}