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18 Cards in this Set

  • Front
  • Back

∫x<sup>n</sup>dx =

<u>x<sup>n+1</sup></u>


n + 1



(n ≠ -1)

∫1/x dx =

ln |x|

∫e<sup>x</sup>dx =

e<sup>x</sup>

∫a<sup>x</sup>dx =

<u> a<sup>x</sup> </u>


ln a

∫sin x dx =

-cos x

∫cos x dx =

sin dx

∫sec<sup>2</sup>x dx =

tan x

∫csc<sup>2</sup>x dx =

-cot x

∫sec x tan x dx =

sec x

∫csc x cot x dx =

-csc x

∫sec x dx =

ln |sec x + tan x|

∫csc x dx =

ln |csc x - cot x|

∫tan x dx =

ln |sec x|

∫cot x dx =

ln |sin x|

∫sin x dx =

cosh x

∫cosh x dx =

sinh x

∫dx/(x<sup>2</sup> + a<sup>2</sup>) =

1/a tan<sup>-1</sup>(x/a)

∫dx/√(a<sup>2</sup> - x<sup>2</sup>) =

sin<sup>-1</sup>(x/a), a>0