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{"name": " Definite Integrals Exam Q6", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>Simple Definite Integrals</p>\n<p></p>\n<p></p>", "licence": "Creative Commons Attribution 4.0 International"}, "parts": [{"vsetrangepoints": 5, "expectedvariablenames": [], "type": "jme", "showCorrectAnswer": true, "variableReplacements": [], "marks": "20", "answer": "1/6", "showpreview": true, "checkingaccuracy": 0.001, "scripts": {}, "checkvariablenames": false, "prompt": "<p>$\\int_0^{\\frac{\\pi}{12}}\\sin{6x}\\,dx$</p>", "showFeedbackIcon": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst"}], "extensions": [], "preamble": {"css": "", "js": ""}, "statement": "<p>Evaluate the integrals:&nbsp;</p>", "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "tags": [], "variables": {"j": {"description": "", "name": "j", "group": "Ungrouped variables", "definition": "random(-4..0)", "templateType": "anything"}, "c": {"description": "", "name": "c", "group": "Ungrouped variables", "definition": "random(2..6)", "templateType": "anything"}, "a": {"description": "", "name": "a", "group": "Ungrouped variables", "definition": "random(-4..0)", "templateType": "anything"}, "l": {"description": "", "name": "l", "group": "Ungrouped variables", "definition": "random(2..6)", "templateType": "anything"}, "k": {"description": "", "name": "k", "group": "Ungrouped variables", "definition": "random(1..4)", "templateType": "anything"}, "h": {"description": "", "name": "h", "group": "Ungrouped variables", "definition": "random(2..8)", "templateType": "anything"}, "d": {"description": "", "name": "d", "group": "Ungrouped variables", "definition": "random(-4..0)", "templateType": "anything"}, "b": {"description": "", "name": "b", "group": "Ungrouped variables", "definition": "random(1..5)", "templateType": "anything"}, "f": {"description": "", "name": "f", "group": "Ungrouped variables", "definition": "random(1..4)", "templateType": "anything"}, "g": {"description": "", "name": "g", "group": "Ungrouped variables", "definition": "random(2..6)", "templateType": "anything"}}, "functions": {}, "rulesets": {}, "advice": "<p>First integrate the function and then substitute in the given limits.</p>", "ungrouped_variables": ["a", "c", "b", "d", "g", "f", "h", "k", "j", "l"], "name": " Definite Integrals Exam Q6", "type": "question", "contributors": [{"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}]}], "contributors": [{"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}]}