Dave's Math Tables: Table of Integrals |
Power of x.
xn
dx = x(n+1) / (n+1) + C
(n -1) |
1/x dx = ln|x| + C |
Exponential / Logarithmic
ex
dx = ex + C
|
bx
dx = bx / ln(b) + C
|
ln(x)
dx = x ln(x) - x + C
|
Trigonometric
sin
x dx = -cos x + C
|
csc
x dx = - ln|csc x + cot x| + C
|
cos
x dx = sin x + C
|
sec
x dx = ln|sec x + tan x| + C
|
tan
x dx = -ln|cos x| + C
|
cot
x dx = ln|sin x| + C
|
Trigonometric Result
cos
x dx = sin x + C
|
csc
x cot x dx = - csc x + C
|
sin
x dx = -cos x + C
|
sec
x tan x dx = sec x + C
|
sec2
x dx = tan x + C
|
csc2
x dx = - cot x + C
|
Inverse Trigonometric
arcsin x dx = x arcsin x + (1-x2) + C |
arccsc x dx = x arccos x - (1-x2) + C |
arctan x dx = x arctan x - (1/2) ln(1+x2) + C |
Inverse Trigonometric Result
|
|
Hyperbolic
sinh
x dx = cosh x + C
|
csch
x dx = ln |tanh(x/2)| + C
|
cosh
x dx = sinh x + C
|
sech x dx = arctan (sinh x) + C |
tanh
x dx = ln (cosh x) + C
|
coth
x dx = ln |sinh x| + C
|
To solve a more complicated integral, see The Integrator at http://integrals.com. |