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10 Cards in this Set

  • Front
  • Back

Geometric series


form

a/(1-r)



Sum n-inf of r^n



Arc sin


arc cos


Derivative

1/(1-x^2)^.5



-1/(1-x^2)^.5

Solid of revolution

Int over region



Pi×r^2 dx

Series for comparison

P series


1/n^p


conv if p>1



Geometric series


a/(1-r)


(r)^


Conv if r>1



Harmonic series


1/n


Divergent


Arc tan(x/a)


arc cot


derivative

1/(1+x^2)


1/(a^2+x^2)



-1/(1+x^2)

Sine squared theta


equals

1/2 (1-cos2theta)

Surface area

A

Volume between 2 f(x)s

Int from a-b


Pi (outerfx^2 - innerfx^2) dx

Surface area

Int from a-b of


2pi×f(x)×(1+[f'(x)]^2)^.5 dx

Convergent but not absol conv


series

Alternating hatmonic


An=[(-1)^(n+1)]/n