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- {
- "classes": [
- {
- "calculus": [
- {
- "question": "\\frac{d}{dx} e^x",
- "options": [
- "e^x",
- "e^{2x}",
- "e^{-x}",
- "x"
- ],
- "answer": "A"
- },
- {
- "question": "\\frac{d}{dx} sin(x)",
- "options": [
- "cos(x)",
- "tan(x)",
- "sin(x)",
- "-cos(x)"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_{-3}^{2} x^2 dx",
- "options": [
- "11.667",
- "5.873",
- "16.250",
- "14.382"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_{0}^{\\infty} tan(x) dx",
- "options": [
- "The integral diverges and is \\infty",
- "0",
- "\\ln(sec(x))",
- "\\-ln(cos(x))"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_{0}^{1} \\frac{1}{x} dx",
- "options": [
- "Integral diverges",
- "0",
- "1",
- "-1"
- ],
- "answer": "A"
- },
- {
- "question": "\\int e^x dx",
- "options": [
- "e^x",
- "-e^x",
- "e^{-x}",
- "\\frac{1}{x}"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_1^4 x^3 dx",
- "options": [
- "63.750",
- "-63.750",
- "0",
- "57.325"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_{-3}^{2} x dx",
- "options": [
- "-2.500",
- "2.500",
- "2.250",
- "3.500"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_{0}^{\\infty} sec(x) dx",
- "options": [
- "Integral diverges",
- "0",
- "\\ln{\\abs{sec(x)+tan(x)}}",
- "6.750"
- ],
- "answer": "A"
- },
- {
- "question": "\\int_{-1}^{1} \\frac{3x}{x} dx",
- "options": [
- "6",
- "0",
- "3x",
- "-3x"
- ],
- "answer": "A"
- }
- ]
- }
- ]
- }
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