Transcription of Table of Integrals - UMD Physics
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Table of Integrals - UMD Physics
2005 BE Shapiro Page 1 This document may not be reproduced, posted or published without permission. The copyright holder makes no representation about the accuracy, correctness, or suitability of this material for any purpose. Table of Integrals BASIC FORMS (1) xndx!=1n+1xn+1 (2) 1xdx!=lnx (3) udv!=uv"vdu! (4) u(x)!v(x)dx"=u(x)v(x)#v(x)!u(x)dx" RATIONAL FUNCTIONS (5) 1ax+bdx!=1aln(ax+b) (6) 1(x+a)2dx!="1x+a (7) (x+a)ndx!=(x+a)na1+n+x1+n"#$%&', n!"1 (8) x(x+a)ndx!=(x+a)1+n(nx+x"a)(n+2)(n+1) (9) dx1+x2!=tan"1x (10) dxa2+x2!=1atan"1(x/a) (11) xdxa2+x2!=12ln(a2+x2) (12) x2dxa2+x2!=x"atan"1(x/a) (13) x3dxa2+x2!=12x2"12a2ln(a2+x2) (14) (ax2+bx+c)!1dx"=24ac!b2tan!
©2005 BE Shapiro Page 3 This document may not be reproduced, posted or published without permission. The copyright holder makes no representation about the accuracy, correctness, or
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