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"url": "https://numbas.mathcentre.ac.uk/api/questions/11762/?format=api",
"name": "Definite integration using standard integrals",
"published": true,
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"full_name": "Newcastle University Mathematics and Statistics",
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"notes": "<p><strong>15/07/2015:<br /></strong></p>\n<p>Added tags</p>\n<p><strong>3/07/1012:</strong></p>\n<p>Added tags.</p>\n<p>Checked calculations.</p>\n<p>Left tolerances in, as easy to make minor errors in calculations.</p>\n<p>Improved display in Advice.</p>\n<p>Some superscripts e.g. the form a^\\var{b} in latex have to be written as a^{\\var{b}} as not displayed properly (if b has a second digit it slips down). Corrected.</p>\n<p><strong>20/07/2012:</strong></p>\n<p>Set new tolerace variables, tol=0.01, tol1=0.0001.</p>\n<p>Can have expressions in Advice of the form $1\\times E$ where E is an expression. This can be remedied by rewriting - but later as not crucial.</p>\n<p>Added description.</p>\n<p></p>\n<p><strong>25/07/2012:</strong></p>\n<p> </p>\n<p>Added tags.</p>\n<p>A lot of work in this question - Perhaps it would be more managable broken down into two separate questions?</p>\n<p> </p>\n<p>Question appears to be working correctly.</p>\n<p> </p>\n<p> </p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Evaluate $\\int_1^{\\,m}(ax ^ 2 + b x + c)^2\\;dx$, $\\int_0^{p}\\frac{1}{x+d}\\;dx,\\;\\int_0^\\pi x \\sin(qx) \\;dx$, $\\int_0^{r}x ^ {2}e^{t x}\\;dx$</p>"
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