Book: Mathematics Part-II
Chapter: 7. Integrals
Subject: Maths - Class 12th
Q. No. 6 of Exercise 7.5
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6
Integrate the rational functions.
On dividing 1 – x2 by x(1 - 2x), we get,
…(1)
Now, let 
(2 – x) = A(1 – 2x) + Bx …(2)
Now, substituting x = 0 and 
in equation (2), we get,
A = 2 and B = 3
Thus, 
Now, putting this value in equation (2), we get,
6
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