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10 Cards in this Set
- Front
- Back
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What's the word that we use to determine u in the substitution by parts integration.
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LIATE
Log Inverse Algebraic Trig Exponential |
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What's the formula for Integration by Parts
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uv - I{ vdu
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If given ∫f(x) from a to b, what is an approximation?
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If the function is increasing,the integral lies between (b-a)*f(a) and (b-a)*f(b). If decreasing, it is the opposite.
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Which is absolute value, displacement or distance traveled?
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Distance traveled. Displacement is the current position.
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tan^2(x) = ?
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sec^2(x) - 1
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What is the derivative of secx and tanx respectively?
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sec(x) = sec(x)*tan(x)
tan(x) = sec^2(x) |
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What are the derivatives of csc(x) and cot(x) respectiviely?
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csc(x) = -csc(x)*cot(x)
cot(x) = -csc^2(x) |
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∫tan(u)du =
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ln| sec(u) | + C
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∫cot(u)du =
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ln| sin(u) | + C
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∫sec(u)du =
∫csc(u)du = |
ln| sec(u) + tan(u) | + C
ln| csc(u) - cot(u) | + C |
