// Numbas version: exam_results_page_options
{"name": "CA2 Block 1 Q3 2019", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>Solve the following indefinite integrals, using $C$ to represent an unknown constant.</p>", "name": "CA2 Block 1 Q3 2019", "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"f": {"name": "f", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1..8 except d)"}, "b": {"name": "b", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(2..9 except a)"}, "a": {"name": "a", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(2..9)"}, "d": {"name": "d", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1..8)"}, "c": {"name": "c", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1..9 except a except b)"}}, "preamble": {"js": "", "css": ""}, "extensions": [], "functions": {}, "rulesets": {}, "ungrouped_variables": ["a", "c", "b", "d", "f"], "parts": [{"scripts": {}, "answer": "-2/3*1/x^3+3ln(x)+x+C", "checkingAccuracy": 0.001, "expectedVariableNames": [], "vsetRange": [0, 1], "checkingType": "absdiff", "marks": 1, "showCorrectAnswer": true, "checkVariableNames": false, "customMarkingAlgorithm": "malrules:\n  [\n    [\"-2/3*1/x^3+3ln(x)+x\",\"Don't forget the constant of integration!\",0.9],  \n    [\"-2x^(-5)/5+3ln(x)+x+C\", \"Check the first term again. It looks like you have subtracted 1 from the power.\",0],\n    [\"-2x^(-5)/5+3ln(x)+x\", \"Check the first term again. It looks like you have subtracted 1 from the power.\",0],\n    [\"-2x^(-5)/5+ln(3x)+x+C\", \"The first two terms are incorrect. First term: It looks like you have subtracted 1 from the power. 2nd term: $\\\\frac{3}{x}=3\\\\left(\\\\frac{1}{x}\\\\right)$. What do you get when you integrate $\\\\frac{1}{x}$?\",0],\n    [\"-2x^(-5)/5+ln(3x)+x\", \"The first two terms are incorrect. First term: It looks like you have subtracted 1 from the power. 2nd term: $\\\\frac{3}{x}=3\\\\left(\\\\frac{1}{x}\\\\right)$. What do you get when you integrate $\\\\frac{1}{x}$?\",0],\n    [\"-2/(3x^3)+ln(3x)+x+C\", \"Check the second term: $\\\\frac{3}{x}=3\\\\left(\\\\frac{1}{x}\\\\right)$. What do you get when you integrate $\\\\frac{1}{x}$?\",0],\n    [\"-2/(3x^3)+ln(3x)+x\", \"Check the second term: $\\\\frac{3}{x}=3\\\\left(\\\\frac{1}{x}\\\\right)$. What do you get when you integrate $\\\\frac{1}{x}$?\",0],\n    [\"-2/(3x^3)+3+x+C\", \"Check the second term: $\\\\frac{3}{x}=3x^{-1}$. The power rule doesn't work if the power on the $x$ is $-1$, because we would end up getting $\\\\frac{x^0}{0}$ and dividing by zero is not defined.\",0],\n    [\"-2/(3x^3)+3+x\", \"Check the second term: $\\\\frac{3}{x}=3x^{-1}$. The power rule doesn't work if the power on the $x$ is $-1$,  because we would end up getting $\\\\frac{x^0}{0}$ and dividing by zero is not defined.\",0],\n    [\"-2x^(-5)/5+3+x+C\", \"The first two terms are incorrect. First term: It looks like you have subtracted 1 from the power. 2nd term: $\\\\frac{3}{x}=3x^{-1}$. The power rule doesn't work if the power on the $x$ is $-1$,  because we would end up getting $\\\\frac{x^0}{0}$ and dividing by zero is not defined.\",0],\n    [\"-2x^(-5)/5+3+x\", \"The first two terms are incorrect. First term: It looks like you have subtracted 1 from the power. 2nd term: $\\\\frac{3}{x}=3x^{-1}$. The power rule doesn't work if the power on the $x$ is $-1$,  because we would end up getting $\\\\frac{x^0}{0}$ and dividing by zero is not defined.\",0],\n    [\"2ln(x^4)+3ln(x)+x\",\"Check the first term again. You can only use the $\\\\ln$ rule if the power on the variable below the line is 1.\",0],\n    [\"2ln(x^4)+3ln(x)+x+C\",\"Check the first term again. You can only use the $\\\\ln$ rule if the power on the variable below the line is 1.\",0]\n   ]\n\n\nparsed_malrules: \n    map(\n        [\"expr\":parse(x[0]),\"feedback\":x[1],\"credit\":x[2]],\n        x,\n        malrules\n    )\n\nagree_malrules (Do the student's answer and the expected answer agree on each of the sets of variable values?):\n    map(\n        len(filter(not x ,x,map(\n            try(\n                resultsEqual(unset(question_definitions,eval(studentexpr,vars)),unset(question_definitions,eval(malrule[\"expr\"],vars)),settings[\"checkingType\"],settings[\"checkingAccuracy\"]),\n                message,\n                false\n            ),\n            vars,\n            vset\n        )))<settings[\"failureRate\"],\n        malrule,\n        parsed_malrules\n    )\n\nmatched_malrules:\n  filter(x[0],x,zip(agree_malrules,parsed_malrules))\n  \nmalrule_feedback:\n    assert(numericallyCorrect,\n        assert(len(matched_malrules)=0,\n            set_credit(matched_malrules[0][1][\"credit\"],matched_malrules[0][1][\"feedback\"])\n        )\n    )\n\nmark:\n    apply(studentExpr);\n    apply(unexpectedVariables);\n    apply(numericallyCorrect);\n    apply(malrule_feedback);\n    apply(failMinLength);\n    apply(failMaxLength);\n    apply(forbiddenStringsPenalty);\n    apply(requiredStringsPenalty) ", "failureRate": 1, "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "type": "jme", "prompt": "<p>$\\int (\\frac{2}{x^4}+\\frac{3}{x}+1)\\mathrm{dx}$</p>", "variableReplacementStrategy": "originalfirst", "vsetRangePoints": 5, "variableReplacements": [], "unitTests": [], "showPreview": true}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Simple Indefinite Integrals</p>\n<p></p>"}, "tags": [], "advice": "<p>Indefinite Integrals</p>", "variable_groups": [], "type": "question", "contributors": [{"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}, {"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}]}], "contributors": [{"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}, {"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}