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19 Cards in this Set
- Front
- Back
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∫tan(x) |
ln(|sec(x)|) + c -ln(|cos(x)|) |
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∫cot(x) |
ln(sin(x)) +c |
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∫sec(x) |
ln|sec(x) + tan(x)| + c |
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∫csc(x) |
ln|csc(x) - cot(x)| + c |
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∫sec²(x) |
tan(x) + c |
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∫sec(x)tan(x) |
sec(x) + c |
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∫csc²(x) |
-cot(x) + c |
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∫csc(x)cot(x) |
-csc(x) + c |
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∫tan²(x) |
tan(x) - x + c |
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∫ln(x) |
xln(x) - x + c |
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∫1/√(a² + x²) |
1/a * arctan(x/a) + c
If there is a variable in the numerator, substitute x with X = a * tan(theta) |
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∫1/√(a² - x²) |
Arcsin(x/a) + c If there is a variable in the numerator, substitute x with x = a * sin(theta) |
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∫1/√(x²-a²) |
Substitute x with x = a * sec(theta) to solve |
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Pythagorean ID |
sin²(x) + cos²(x) = 1 1 + tan²(x) = sec²(x) 1 + cot²(x) = csc²(x) |
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Double Angle ID |
sin(2x) = 2sin(x)cos(x) cos(2x) = cos²(x) - sin²(x) |
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d/dx tan(x) |
sec²(x) |
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d/dx cot(x) |
-csc²(x) |
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d/dx sec(x) |
sec(x)tan(x) |
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d/dx csc(x) |
-csc(x)cot(x) |
