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The value of int(a)^(b)(x^(n-1)((n-2)x^(...

The value of `int_(a)^(b)(x^(n-1)((n-2)x^(2)+(n-1)(a+b)x+nab))/((x+a)^(2)(x+b)^(2))dx` is equal to :

A

`(b^(n)+a^(n))/(2(a+b))`

B

`(b^(n-1)-a^(n-1))/(2(a+b))`

C

`(b-a)/(2(a+b))`

D

`(b^(n-1)-a^(n-1))/(2(a^(n)+b^(n)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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