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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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2.14 Forms containing the binomial 1 ± xnsi197_e

2.141

1. 

dx1+x = ln(1+x)

si198_e

2.11 

dx1 + x2 = arctan x = arctan(1x)

si199_e

(see also2.124 1)

3. 

dx1 + x3 = 13 ln 1+x1x+x2 + 13arctan x32x

si200_e

(see also2.126 1)

4. 

dx1 + x4 = 142 ln 1 + x2 + x21  x2  + x2 + 122arctan x21  x2

(see also2.132 1)

2.142

dx1 + xn=2nk=0n21Pkcos(2k + 1nπ) + 2nk=0n21Qksin ...

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