Transcription of Integral Table
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Integral Table
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.
Table of Basic Integrals1 (1) Z xn dx = 1 n+1 xn+1; n 6= 1 (2) Z 1 x dx = lnjxj (3) Z u dv = uv Z vdu (4) Z e xdx = e (5) Z ax dx = 1 lna ax (6) Z lnxdx = xlnx x (7) Z sinxdx = cosx (8) Z cosxdx = sinx (9) Z tanxdx = lnjsecxj
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