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"url": "https://numbas.mathcentre.ac.uk/api/questions/189/?format=api",
"name": "Leicester: Integration 3",
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"full_name": "Bill Foster",
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"notes": "\n \t\t \t\t \t\t<p><strong>3/08/2012:</strong></p>\n \t\t \t\t \t\t<p>Added tags.</p>\n \t\t \t\t \t\t<p>Added description.</p>\n \t\t \t\t \t\t<p>Got rid of redundant ruleset, added !noLeadingMinus to std ruleset as we need to keep the standard order for integrating by parts.</p>\n \t\t \t\t \t\t<p>Checked calculation. OK.</p>\n \t\t \t\t \t\t<p>Penalised use of steps in first part, 1 mark. Added message to that effect in first part.</p>\n \t\t \t\t \t\t<p>Added message about not inputting decimals in appropriate places.</p>\n \t\t \t\t \t\t<p>Changed marks reflecting the use of steps and degree of difficulty in second part.</p>\n \t\t \t\t \t\t<p>Improved Advice display.</p>\n \t\t \t\t \n \t\t \n \t\t",
"description": "\n \t\t<p>Find $\\displaystyle \\int (ax+b)\\cos(cx+d)\\; dx $ and hence find $\\displaystyle \\int (ax+b)^2\\sin(cx+d)\\; dx $ </p>\n \t\t <p>Also two other questions on integrating by parts.</p>\n \t\t",
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