Transcription of Table of Basic Integrals1
1 Table of Basic Integrals1 . Z. 1 Z. (1) xn dx = xn+1 , n 6= 1 (11) sec2 x dx = tan x n+1. Z. 1. (2) dx = ln |x| Z. x (12) sec x tan x dx = sec x Z Z. (3) u dv = uv vdu Z. a x (13) dx = tan 1. a2 +x 2 a Z. (4) ex dx = ex Z a 1 x + a (14) dx = ln Z a2 x 2 2 x a 1 x (5) ax dx = a ln a Z. 1 x (15) dx = sin 1. a2 x 2 a Z. (6) ln x dx = x ln x x Z. a x Z (16) dx = sec 1. (7) sin x dx = cos x x x2 a2 a Z. Z 1 x (8) cos x dx = sin x (17) dx = cosh 1. x2 a 2 a . = ln(x + x2 a2 ). Z. (9) tan x dx = ln | sec x|. Z. 1 x (18) dx = sinh 1. Z x2 +a 2 a . (10) sec x dx = ln | sec x + tan x| = ln(x + x2 + a2 ). 1. 2014. c From , last revised June 14, 2014. This material is provided as is without warranty or representation about the accuracy, correctness or suitability of this material for any purpose. This work is licensed under the Creative Commons Attribution-Noncommercial-ShareAlike United States License.
