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Scholars Journal of Engineering and Technology | Volume-3 | Issue-03
The calculation method for a kind of definite integral
Zhongkui Zhao
Published: March 29, 2015 |
151
149
DOI: 10.36347/sjet
Pages: 258-262
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Abstract
This paper discussed
1
2
1
2 arctan ( )
1
a dx n x T x n
x
this kind of definite integral. (T x n ( ) is n-th
Qibixiaofu polynomial, n 0,1,2L ) The conclusion is when n is even number, a a n k 2 0 . And when n is odd
number,
2 1
2 1
2
( 1) ( 2 1) ( 0,1,2 )