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- StudyBlue
- North Carolina
- University of North Carolina-Wilmington
- Mathematics
- Mathematics 261
- Wang
- REVIEW # 3

Kendall L.

(1/n+1)x^{n+1} +C

ln[x]+c

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[S]a f(x)dx=

a[S]fxdx

[S] K dx=

*where K is a constant*

Kx + C

[S] K f(x) dx=

[S] a^{x} dx =

= (1/lna) * a^{x} + C

[S] (f(x))^{n} * f'(x) dx=

= [f(x)]^{n+1} * 1/(n+1) +C

[S] r (w)^{n}dx

= r/w' * (1/n+1)w^{n+1} + C

[S] r*e^{f(x)}dx=

r/f'(x) * e^{f(x)} +C

[S] [g(x)+-f(x)]dx

[S]g(x)dx +- [S]f(x)dx

[S] dx

= x + c

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f'(x)=

f(x)= u/v

f'(x)=?

= ( *u*' *v* + *v*' *u)/ (v*^{2})

x'=

1

k'=

0

y= (f(x))^{n}

y'=?

y'= n(f(x))^{n-1} f'(x)

f(x)= a^{x}

f'(x0)=?

= a^{x} ln(a) x

f(x)= logf(x)

f'(x)=

(1/ln(a)) (1/fx) f'(x)

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