// 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}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": [], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

Integration by susbtitution, no hint given

"}, "preamble": {"js": "", "css": ""}, "functions": {}, "ungrouped_variables": ["c", "b", "a"], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"b": {"templateType": "anything", "name": "b", "description": "", "group": "Ungrouped variables", "definition": "random(1..8 except a)"}, "c": {"templateType": "anything", "name": "c", "description": "", "group": "Ungrouped variables", "definition": "random(1..9)"}, "a": {"templateType": "anything", "name": "a", "description": "", "group": "Ungrouped variables", "definition": "random(2..6)"}}, "statement": "

Evaluate the following indefinite integral using integration by substitution. Use the letter C to represent any unknown constants.

", "tags": [], "variable_groups": [], "type": "question", "advice": "

integration by Susbtitution

", "name": "cormac's copy of Integration by substitution 2", "parts": [{"vsetrange": [0, 1], "checkingtype": "absdiff", "showFeedbackIcon": true, "showCorrectAnswer": true, "marks": "5", "checkingaccuracy": 0.001, "prompt": "

$\\displaystyle{\\int \\frac{x }{\\var{c}+x^2} }\\mathrm{dx}$.

\n

", "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": [], "vsetrangepoints": 5, "variableReplacements": [], "type": "jme", "showpreview": true, "answer": "ln({c}+x^2)/2+C", "checkvariablenames": false}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}