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22 Cards in this Set
- Front
- Back
d/dx xⁿ |
nxⁿ⁻¹ |
|
d/dx eᵏˣ |
keᵏˣ
k is a constant |
|
d/dx eᵘ |
eᵘ (du/dx) |
|
d/dx ln|u| |
(1/u) (du/dx) |
|
d/dx sin(u) |
cos(u) (du/dx) |
|
d/dx cos(u) |
−sin(u) (du/dx) |
|
d/dx arcsin(u) |
1/√[1 − u²] (du/dx) |
|
d/dx arccos(u) |
−1/√[1 − u²] (du/dx) |
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d/dx arctan(u) |
1/(1 + u²) (du/dx) |
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d/dx sec(u) |
sec(u)tan(u) (du/dx) |
|
d/dx tan(u) |
sec²(u) (du/dx) |
|
∫ xⁿ (dx) |
(xⁿ⁺¹)/(n + 1) + C |
|
∫ du/u |
ln|u| + C |
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∫ cos(kx) (dx) |
(1/k) sin(kx) + C |
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∫ tan(u) (du) |
ln|sec(u)| + C |
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∫ aᵘ (du) |
aᵘ/ln(a) + C |
|
∫ eᵏˣ (dx) |
(1/k) eᵏˣ + C |
|
∫ sin(kx) (dx) |
(−1/k) cos(kx) + C |
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∫ sec²(u) (du) |
tan(u) + C |
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∫ sec(u) (du) |
ln|sec(u) + tan(u)| + C |
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∫ 1/√[1 − u²] (du) |
arcsin(u) + C |
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∫ −1/√[1 − u²] (du) |
arccos(u) + C |