Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 12 of Exercise 7.5

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Integrate the rational functions.


Dividing (x3 + x + 1) by x2 -1, we get,



Let


Now, 2x + 1 = A(x – 1) + B(x + 1) …(1)


Substituting x = 1 and -1 in equation (1), we get,


A = and B =


Thus,




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