Standard Integrals (ax + b) Flashcards
INTEGRATE
xn
(1/n+1) * x(n+1) + C
INTEGRATE
ex
ex +C
INTEGRATE
1 / x
ln | x | + C
INTEGRATE
sin x
- cos x + C
INTEGRATE
cos x
sin x + C
INTEGRATE
sec2 x
tan x + C
INTEGRATE
1 / √(1 - x2)
sin-1 x + C
INTEGRATE
- 1 / √(1 - x2)
cos-1 x + C
INTEGRATE
1 / (1 + x2)
tan-1 x + C
INTEGRATE
tan x
- ln (cos x) + C
INTEGRATE
sinh x
cosh x + C
INTEGRATE
cosh x
sinh x + C
INTEGRATE
sech2 x
tanh x + C
INTEGRATE
1 / √(1 + x2)
sinh-1 x + C
INTEGRATE
1 / √( -1 + x2 )
cosh-1 x + C
INTEGRATE
1 / ( 1 - x2)
tanh-1 x + C
For Standard Integrals,
a, b, C and n =/= -1 are … .
constants
INTEGRATE
(ax + b)n
1/a * 1/(n+1) * (ax + b)n+1 + C
INTEGRATE
e(<em>ax + b</em>)
1/a * e(<em>ax + b</em>) + C
INTEGRATE
1 / (ax + b)
1/a * ln | ax + b | + C
INTEGRATE
sin (ax + b)
-1/a cos(ax + b) + C
INTEGRATE
cos (ax + b)
1/a sin(ax + b) + C
INTEGRATE
sec2 (ax + b)
1/a tan(ax + b) + C
INTEGRATE
1 / √(1 - (ax + b)2 )
1/a sin-1 (ax + b) + C
INTEGRATE
- 1 / √(1 - (ax + b)2)
1/a cos-1 (ax + b) + C
INTEGRATE
1 / (1 + (ax + b)2)
1/a tan-1 (ax + b) + C
INTEGRATE
tan (ax + b)
-1/a ln( cos(ax+b) ) + C
INTEGRATE
sinh (ax + b)
1/a cosh (ax + b) + C
INTEGRATE
cosh (ax + b)
1/a sinh (ax + b) + C
INTEGRATE
sech2 (ax + b)
1/a tanh (ax + b) + C
INTEGRATE
1 / √(1 + (ax + b)2)
1/a sinh-1 (ax + b) + C
INTEGRATE
1 / √(-1 + (ax + b)2)
1/a cosh-1 (ax + b) + C
INTEGRATE
1 / (1 - (ax + b)2)
1/a tanh-1 (ax + b) + C
