// Numbas version: exam_results_page_options
{"name": "Definite Integrals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Definite Integrals</p>\n<p>rebel</p>\n<p>rebelmaths</p>\n<p>Rebelmaths</p>\n<p></p>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f", "h", "k", "j", "l"], "name": "Definite Integrals", "parts": [{"checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "prompt": "<p>$\\int_\\var{a}^\\var{b}(1 + \\var{c}x)\\mathrm{dx}$</p>", "variableReplacements": [], "checkingaccuracy": 0.001, "answer": "{b}+{c}{b}^2/2-{a}-{a}^2{c}/2", "expectedvariablenames": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}, {"checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "prompt": "<p>$\\int_\\var{d}^\\var{f} (x^2 + \\var{g}x-\\var{h})\\mathrm{dx}$</p>", "variableReplacements": [], "checkingaccuracy": 0.001, "answer": "{f}^3/3+{g}{f}^2/2-{h}{f}-{d}^3/3-{g}{d}^2/2+{h}{d}", "expectedvariablenames": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}, {"checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "prompt": "<p>$\\int_\\var{j}^\\var{k}(x^3-\\var{l}x^2)\\mathrm{dx}$</p>", "variableReplacements": [], "checkingaccuracy": 0.001, "answer": "{k}^4/4-{l}{k}^3/3-{j}^4/4+{l}{j}^3/3", "expectedvariablenames": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}], "extensions": [], "preamble": {"css": "", "js": ""}, "tags": ["Rebel", "REBEL", "rebel", "rebelmaths"], "statement": "<p>Evaluate the integrals:&nbsp;</p>", "rulesets": {}, "variable_groups": [], "advice": "<p>First integrate the function and then substitute in the given limits.</p>", "variables": {"d": {"name": "d", "definition": "random(-4..0)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "h": {"name": "h", "definition": "random(2..8)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "l": {"name": "l", "definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "j": {"name": "j", "definition": "random(-4..0)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "c": {"name": "c", "definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "f": {"name": "f", "definition": "random(1..4)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "k": {"name": "k", "definition": "random(1..4)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "b": {"name": "b", "definition": "random(1..5)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "g": {"name": "g", "definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "a": {"name": "a", "definition": "random(-4..0)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "type": "question", "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}]}]}], "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}]}