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{
"url": "https://numbas.mathcentre.ac.uk/api/questions/68/?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/68/integration-by-parts/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/68/integration-by-parts/preview/?format=api",
"download": "https://numbas.mathcentre.ac.uk/question/68/integration-by-parts.zip?format=api",
"source": "https://numbas.mathcentre.ac.uk/question/68/integration-by-parts.exam?format=api",
"metadata": {
"notes": "\n \t\t<p><strong>3/08/2012:</strong></p>\n \t\t<p>Added tags.</p>\n \t\t<p>Added description.</p>\n \t\t<p>Corrected error in second question answer, + changed to -. Also solution to second gap in third part. Advice changed accordingly.</p>\n \t\t<p>Checked calculations after corrections. OK.</p>\n \t\t<p>Penalised use of steps in first part, 1 mark. Added message to that effect.</p>\n \t\t<p>Changed marks to allow for steps penalty.</p>\n \t\t<p>Improved Advice display.</p>\n \t\t",
"description": "<p>Find $\\displaystyle \\int x\\sin(cx+d)\\;dx,\\;\\;\\int x\\cos(cx+d)\\;dx $ and hence $\\displaystyle \\int ax\\sin(cx+d)+bx\\cos(cx+d)\\;dx$</p>",
"licence": "Creative Commons Attribution 4.0 International"
},
"status": "ok",
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}