Transcription of Integral Table
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.
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