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Integrate w.r.t x, x^3[(x-a)(x-b)(x-c)]...

Integrate `w.r.t x, x^3[(x-a)(x-b)(x-c)]^-1` given that `1/A=((a-b)(a-c))/a^3, 1/B=((b-a)(b-c))/b^3, 1/C=((c-a)(c-b))/c^3`

A

`x+A.log(x-a)+B.log(x-b)+C.log(x-c)+C`

B

`A.log(x-a)+B.log(x-b)+C.log(x-c)+D`

C

`1+A.log(x-a)+B.log(x-b)+C.log(x-c)+D`

D

`(1)/(A)log(x-a)+(1)/(B)log(x-b)`

Text Solution

Verified by Experts

The correct Answer is:
B
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