// Numbas version: exam_results_page_options
{"name": "Definite Integrals 3", "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>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "name": "Definite Integrals 3", "extensions": [], "variables": {}, "tags": [], "statement": "<p>Find the following definite integrals</p>", "preamble": {"js": "", "css": ""}, "rulesets": {}, "variable_groups": [], "advice": "<p>Definite Integrals</p>", "parts": [{"checkvariablenames": false, "expectedvariablenames": [], "variableReplacements": [], "vsetrangepoints": 5, "prompt": "<p>$\\int_0^1\\cos(\\frac{\\pi t}{2})\\mathrm{dt}$.</p>\n<p>To write $\\pi$ in your answer simply write pi.</p>", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "2/pi", "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}, {"checkvariablenames": false, "expectedvariablenames": [], "variableReplacements": [], "vsetrangepoints": 5, "prompt": "<p>$\\int_0^1\\frac{e^z+1}{e^z+z}\\mathrm{dz}$.</p>\n<p>Express your answer using the natural log, ln().</p>\n<p>Hint: make a substition using the lower line.</p>", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "ln(e+1)", "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}], "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/"}]}