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{
"url": "https://numbas.mathcentre.ac.uk/api/questions/163/?format=api",
"name": "Indefinite integral by substitution",
"published": true,
"project": "https://numbas.mathcentre.ac.uk/api/projects/3/?format=api",
"author": {
"url": "https://numbas.mathcentre.ac.uk/api/users/6/?format=api",
"profile": "https://numbas.mathcentre.ac.uk/accounts/profile/6/?format=api",
"full_name": "Bill Foster",
"pk": 6,
"avatar": null
},
"edit": "https://numbas.mathcentre.ac.uk/question/163/indefinite-integral-by-substitution/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/163/indefinite-integral-by-substitution/preview/?format=api",
"download": "https://numbas.mathcentre.ac.uk/question/163/indefinite-integral-by-substitution.zip?format=api",
"source": "https://numbas.mathcentre.ac.uk/question/163/indefinite-integral-by-substitution.exam?format=api",
"metadata": {
"notes": "\n \t\t<p><strong>2/08/2012:</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>Added information about Show steps in prompt content area. </p>\n \t\t<p>Corrected error in Show steps, the substitution was the wrong way round.</p>\n \t\t<p>Simplified the presentation of Advice.</p>\n \t\t",
"description": "<p>Find $\\displaystyle \\int \\frac{c}{\\sqrt{a-bx^2}}\\;dx$. Solution involves the inverse trigonometric function $\\arcsin$.</p>",
"licence": "Creative Commons Attribution 4.0 International"
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}