Differentiation Formula Integration Formula

Differentiation Formula

Integration Formula

d ( xp+1 ) = xp dx p + 1

xp dx = xp+1 + C, p = -1 p+1

d (sin x) = cos x

dx

cos x dx = sin x + C

d (cos x) = - sin x

dx

sin x dx = - cos x + C

d (tan x) = sec2 x dx

sec2 x dx = tan x + C

d (cot x) = - csc2 x dx

csc2 x dx = - cot x + C

d (sec x) = sec x tan x

dx

sec x tan x dx = sec x + C

d (csc x) = - csc x cot x

dx

csc x cot x dx = - csc x + C

d (ex) = ex dx

ex dx = ex + C

d

1

(ln |x|) =

dx

x

1 dx = ln |x| + C x

d

(sin-1

) x

=

1

dx

1 - x2

1 dx = sin-1 x + C 1 - x2

d

(tan-1

) x

=

1

dx

1 + x2

1 dx = tan-1 x + C

1 + x2

d

(sec-1

) |x|

=

1

dx

x x2 - 1

1

dx = sec-1 |x| + C

x x2 - 1

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