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"url": "https://numbas.mathcentre.ac.uk/api/questions/11757/?format=api",
"name": "Indefinite integral of improper polynomial fraction",
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"full_name": "Newcastle University Mathematics and Statistics",
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"notes": "<p><strong>28/06/2012:</strong></p>\n <p>Added tags. Changed prompt slightly. Calculation checks.</p>\n <p>Checking range is 2 to 3, giving a negative argument for ln without taking the absolute value, hence the reason for asking for absolute value being used. But in fact the user can just wrap abs around the $1+x$ and not the $1-x$. So is redundant!!</p>\n <p>To be changed!</p>\n <p><strong>29/06/2012:</strong></p>\n <p>Got rid of necessity to have abs by changing checking range to 0.25 to 0.75. However, still including the homily about using abs as good practice. Cannot use in Show steps for now as not available (issue reported) so is in the statement and also in Advice.</p>\n <p><strong>10/07/2012:</strong></p>\n <p>Included message in the prompt about using fractions or integers, not decimals. Included decimal point in forbidden strings.</p>\n <p><strong>18/07/2012:</strong></p>\n <p>Added description.</p>\n <p>23/07/2012:</p>\n <p>Added tags.</p>\n <p>Question appears to be working correctly.</p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Find $\\displaystyle\\int \\frac{ax^3-ax+b}{1-x^2}\\;dx$. Input constant of integration as $C$.</p>"
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