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"url": "https://numbas.mathcentre.ac.uk/api/questions/11746/?format=api",
"name": "Integration by parts",
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"full_name": "Newcastle University Mathematics and Statistics",
"pk": 697,
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"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>Checked calculation. OK.</p>\n\t\t<p>Got rid of redundant instructions about inputting constant of integration.</p>\n\t\t<p>Penalised use of steps in first part, 1 mark. Added message to that effect in first part.</p>\n\t\t<p>Added message about not inputting decimals in appropriate places.</p>\n\t\t<p>Changed marks reflecting the use of steps and degree of difficulty in second part.</p>\n\t\t<p>Improved Advice display.</p>\n\t\t",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Given $\\displaystyle \\int (ax+b)e^{cx}\\;dx =g(x)e^{cx}+C$, find $g(x)$. Find $h(x)$, $\\displaystyle \\int (ax+b)^2e^{cx}\\;dx =h(x)e^{cx}+C$. </p>"
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