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"url": "https://numbas.mathcentre.ac.uk/api/questions/178/?format=api",
"name": "Integration by partial fractions. (Video)",
"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/178/integration-by-partial-fractions-video/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/178/integration-by-partial-fractions-video/preview/?format=api",
"download": "https://numbas.mathcentre.ac.uk/question/178/integration-by-partial-fractions-video.zip?format=api",
"source": "https://numbas.mathcentre.ac.uk/question/178/integration-by-partial-fractions-video.exam?format=api",
"metadata": {
"notes": "\n \t\t \t\t<p><strong>5/08/2012:</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>Added decimal point as forbidden string.</p>\n \t\t \t\t<p>Note the checking range is chosen so that the arguments of the log terms are always positive - could have used abs - might be better?</p>\n \t\t \t\t<p>Improved display of Advice. </p>\n \t\t \t\t<p>Added information about Show steps, also introduced penalty of 1 mark.</p>\n \t\t \t\t<p>Added !noLeadingMinus to ruleset std for display purposes.</p>\n \t\t \n \t\t",
"description": "<p>Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\\displaystyle \\int \\frac{ax+b}{x^2+cx+d}\\;dx,\\;a \\neq 0$ using partial fractions or otherwise.</p>\n <p>Video in Show steps.</p>",
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}