// Numbas version: exam_results_page_options
{"name": "cormac's copy of Integration by substitution 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "advice": "<p>integration by Susbtitution</p>", "functions": {}, "variables": {"b": {"definition": "random(1..8 except a)", "name": "b", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "c": {"definition": "random(1..9)", "name": "c", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "a": {"definition": "random(2..6)", "name": "a", "description": "", "templateType": "anything", "group": "Ungrouped variables"}}, "extensions": [], "statement": "<p>Evaluate the following indefinite integral using integration by substitution. Use the letter C to represent any unknown constants.</p>", "ungrouped_variables": ["c", "b", "a"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Integration by susbtitution, no hint given</p>"}, "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "rulesets": {}, "name": "cormac's copy of Integration by substitution 2", "parts": [{"prompt": "<p>$\\displaystyle{\\int \\frac{x }{\\var{c}+x^2} }\\mathrm{dx}$.</p>\n<p></p>", "expectedvariablenames": [], "answer": "ln({c}+x^2)/2+C", "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "variableReplacements": [], "checkvariablenames": false, "scripts": {}, "showFeedbackIcon": true, "showpreview": true, "vsetrangepoints": 5, "vsetrange": [0, 1], "marks": "5", "type": "jme", "showCorrectAnswer": true}], "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/"}]}