Basic intergration rules table.
Integral Result Notes
Constant ( \int c , dx = c x + C )
( \int x^n , dx = \frac{x^{n+1}}
Power ( n \neq -1 )
{n+1} + C )
( \int \frac{1}{x} , dx = \ln|x| + C
Log
)
Exponential ( \int e^x , dx = e^x + C )
( \int a^x , dx = \frac{a^x}{\ln a} ( a > 0, a \
( a^x )
+C) neq 1 )
Trigonometric Intergrals
Integral Result
( \int \sin x , dx ) ( -\cos x + C )
( \int \cos x , dx ) ( \sin x + C )
( \int \tan x , dx ) ( -\ln|\cos x| + C )
( \int \sec x , dx ) ( \ln|\sec x + \tan x| + C )
( \int \sec^2 x , dx ) ( \tan x + C )
( \int \csc^2 x , dx ) ( -\cot x + C )
Integral Result Notes
Constant ( \int c , dx = c x + C )
( \int x^n , dx = \frac{x^{n+1}}
Power ( n \neq -1 )
{n+1} + C )
( \int \frac{1}{x} , dx = \ln|x| + C
Log
)
Exponential ( \int e^x , dx = e^x + C )
( \int a^x , dx = \frac{a^x}{\ln a} ( a > 0, a \
( a^x )
+C) neq 1 )
Trigonometric Intergrals
Integral Result
( \int \sin x , dx ) ( -\cos x + C )
( \int \cos x , dx ) ( \sin x + C )
( \int \tan x , dx ) ( -\ln|\cos x| + C )
( \int \sec x , dx ) ( \ln|\sec x + \tan x| + C )
( \int \sec^2 x , dx ) ( \tan x + C )
( \int \csc^2 x , dx ) ( -\cot x + C )
