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12 Cards in this Set
- Front
- Back
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nasty equation with Hs that equals f(x) when f(x)=g'(x)
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the limit as h approaches 0 of
[g(x+h)-(g)x]/h |
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FTC part one
g(x)=(integral) |
integral of f(t)dt from a to x (x is between a and b)
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FTC part two
the integral of f(x) from a to b is equal to |
F(b) - F(a), where F is any antiderivative of f; that is, F'=f
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indefinite integral of x^n dx =
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(x^n+1)/(n+1) +C
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indefinite integral of 1/x dx =
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ln|x| + C
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indefinite integral of e^x =
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e^x +C
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indefinite integral of a^x dx =
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a^x/lna +C
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indefinite integral of csc^2xdx =
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-cotx + C
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indefinite integral of secxtanxdx =
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secx +C
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indefinite integral of cscxcotxdx =
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-cscx + C
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indefinite integral of 1/(x^2 +1) =
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tan^-1x + C
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indefinite integral of 1/root(1-x^2)dx =
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sin^-1x + C
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