Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Partial Fraction:
|
Factors in the denominator |
Corresponding Partial Fraction |
|
(x - a) |
|
|
(x – b)2 |
|
|
(x - a) (x – b) |
|
|
(x – c)3 |
|
|
(ax2 + bx + c) |
|
Calculation:
Here we have to find the value of
As we can see that the denominator of the given integrand is:
As we know that, if the factor in the denominator is of the form (x - a) (x – b) then the corresponding partial fraction is given by:
⇒ A + B = 1 and B - 2A = - 1
⇒ A = 2/3 and B = 1/3
As we know that
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