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"name": "Integration of fraction with power in denominator",
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"full_name": "Newcastle University Mathematics and Statistics",
"pk": 697,
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"source": "https://numbas.mathcentre.ac.uk/question/11754/integration-of-fraction-with-power-in-denominator.exam?format=api",
"metadata": {
"notes": "\n \t\t<p><strong>3/7/2012:<br /></strong></p>\n \t\t<p>Added tags</p>\n \t\t<p><strong>20/06/2012:</strong></p>\n \t\t<p>Added tags.</p>\n \t\t<p>Improved spacing and display.</p>\n \t\t<p>Got rid of instruction about including constant of integration as not needed.</p>\n \t\t<p>Checked calculation.</p>\n \t\t",
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"description": "<p>$\\displaystyle \\int \\frac{bx+c}{(ax+d)^n} dx=g(x)(ax+d)^{1-n}+C$ for a polynomial $g(x)$. Find $g(x)$.</p>"
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