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"url": "https://numbas.mathcentre.ac.uk/api/questions/66/?format=api",
"name": "Integration by parts",
"published": true,
"project": "https://numbas.mathcentre.ac.uk/api/projects/3/?format=api",
"author": {
"url": "https://numbas.mathcentre.ac.uk/api/users/6/?format=api",
"profile": "https://numbas.mathcentre.ac.uk/accounts/profile/6/?format=api",
"full_name": "Bill Foster",
"pk": 6,
"avatar": null
},
"edit": "https://numbas.mathcentre.ac.uk/question/66/integration-by-parts/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/66/integration-by-parts/preview/?format=api",
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"source": "https://numbas.mathcentre.ac.uk/question/66/integration-by-parts.exam?format=api",
"metadata": {
"notes": "\n \t\t \t\t<p><strong>3/08/2012:</strong></p>\n \t\t \t\t<p>Added tags.</p>\n \t\t \t\t<p>Added description.</p>\n \t\t \t\t<p>Got rid of redundant ruleset, added !noLeadingMinus to std ruleset as we need to keep the standard order for integrating by parts.</p>\n \t\t \t\t<p>Checked calculation. OK.</p>\n \t\t \t\t<p>Penalised use of steps in first part, 1 mark. Added message to that effect in first part.</p>\n \t\t \t\t<p>Added message about not inputting decimals in appropriate places.</p>\n \t\t \t\t<p>Changed marks reflecting the use of steps and degree of difficulty in second part.</p>\n \t\t \t\t<p>Improved Advice display.</p>\n \t\t \n \t\t",
"description": "<p>Find $\\displaystyle \\int (ax+b)\\cos(cx+d)\\; dx $ and hence find $\\displaystyle \\int (ax+b)^2\\sin(cx+d)\\; dx $ </p>",
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}