unit 2 quiz prep
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Last updated 2:39 AM on 9/11/26
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11 Terms
1
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∫ 1/√(1 - x²) dx
sin⁻¹(x) + C
2
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∫ -1/√(1 - x²) dx
cos⁻¹(x) + C
3
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∫ 1/(1 + x²) dx
tan⁻¹(x) + C
4
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∫ -1/(1 + x²) dx
cot⁻¹(x) + C
5
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∫ 1/(|x|√(x² - 1)) dx
sec⁻¹(x) + C
6
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∫ -1/(|x|√(x² - 1)) dx
csc⁻¹(x) + C
7
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∫ 1/√(1 + x²) dx
sinh⁻¹(x) + C
8
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∫ 1/√(x² - 1) dx
cosh⁻¹(x) + C [x > 1]
9
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∫ 1/(1 - x²) dx
tanh⁻¹(x) + C if |x| < 1 OR coth⁻¹(x) + C if |x| > 1
10
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∫ -1/(x√(1 - x²)) dx
sech⁻¹(x) + C [0 < x < 1]
11
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∫ -1/(|x|√(1 + x²)) dx
csch⁻¹(x) + C [x ≠ 0]