// Numbas version: exam_results_page_options {"name": "Integration III - Question 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Integration III - Question 3", "tags": [], "metadata": {"description": "Quiz 8", "licence": "All rights reserved"}, "statement": "

Integrate by parts:

", "advice": "

$\\int u(\\frac{dv}{dx})dx=uv-\\int v(\\frac{du}{dx})dx$

", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\int\\theta^2cos\\theta d\\theta$

\n

Select the correct answer.

", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": false, "choices": ["$sin\\theta(\\theta^2+2)-2\\theta cos\\theta+c$", "$sin\\theta(\\theta^2-2)+2\\theta cos\\theta+c$", "$cos\\theta(\\theta^2+2)+2\\theta sin\\theta+c$", "$cos\\theta(\\theta^2-2)+2\\theta sin\\theta+c$"], "matrix": [0, "1", 0, 0], "distractors": ["", "", "", ""]}], "contributors": [{"name": "Lubomira Tosheva", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3619/"}]}]}], "contributors": [{"name": "Lubomira Tosheva", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3619/"}]}