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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