// Numbas version: exam_results_page_options {"name": "George's copy of Definite Integrals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"k": {"definition": "random(1..4)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "k"}, "d": {"definition": "random(-4..0)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "d"}, "c": {"definition": "random(2..6)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "c"}, "b": {"definition": "random(1..5)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "b"}, "g": {"definition": "random(2..6)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "g"}, "j": {"definition": "random(-4..0)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "j"}, "f": {"definition": "random(1..4)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "f"}, "l": {"definition": "random(2..6)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "l"}, "a": {"definition": "random(-4..0)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "a"}, "h": {"definition": "random(2..8)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "h"}}, "statement": "

Evaluate the integrals: 

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$\\int_\\var{a}^\\var{b}(1 + \\var{c}x)\\mathrm{dx}$

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$\\int_\\var{d}^\\var{f} (x^2 + \\var{g}x-\\var{h})\\mathrm{dx}$

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$\\int_\\var{j}^\\var{k}(x^3-\\var{l}x^2)\\mathrm{dx}$

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Definite Integrals

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rebel

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rebelmaths

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Rebelmaths

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First integrate the function and then substitute in the given limits.

", "extensions": [], "name": "George's copy of Definite Integrals", "ungrouped_variables": ["a", "c", "b", "d", "g", "f", "h", "k", "j", "l"], "type": "question", "contributors": [{"name": "George Loughlin", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1619/"}]}]}], "contributors": [{"name": "George Loughlin", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1619/"}]}