Indefinite Integral Table
Note: u, v, and w are functions of x. a, c, n, are constants. All trigonometric functions use radians. A constant must be added 4. to the result of every integration. General and Basic Integrals 1. af ( x ) dx = a f ( x )
Table of Integrals
Basic Forms xn dx = 1 xn+1 + c n+1 Integrals with Roots 2 (x a)3/2 + C 3
(1) (2) (3) (4)
x adx =
(17) (18) (19)
1 dx = ln x + c x udv = uv vdu
1 dx = 2 x a + C xa 1 dx = 2 a x + C ax
1 1 dx = ln |ax + b| + c ax + b