Table of Basic Integrals Basic Forms (1) Z x n dx = 1 n +1 x n+1 ,n 6= -1 (2) Z 1 x dx = ln |x| (3) Z udv = uv - Z vdu (4) Z 1 ax + b dx = 1 a ln |ax + b| Integrals of Rational Functions (5) Z 1 (x + a) 2 dx = - 1 x + a (6) Z (x + a) n dx = (x + a) n+1 n +1 ,n 6= -1 (7) Z x(x + a) n dx = (x + a) n+1 ((n + 1)x - a) (n + 1)(n + 2) (8) Z 1 1+ x 2 dx = tan -1 x (9) Z 1 a 2 + x 2 dx = 1 a tan -1 x a 1