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Evaluate: int(x^7)/(x+1)\ dx...

Evaluate: `int(x^7)/(x+1)\ dx`

A

`(x^(7))/(7)+(x^(6))/(6)+(x^(5))/(5)+(x^(4))/(4)+(x^(3))/(3)+(x^(2))/(2)+x+log|x+1|+c`

B

`(x^(7))/(7)+(x^(6))/(6)+(x^(5))/(5)+(x^(4))/(4)+(x^(3))/(3)+(x^(2))/(2)+x-log|x+1|+c`

C

`(x^(7))/(7)-(x^(6))/(6)+(x^(5))/(5)+(x^(4))/(4)-(x^(3))/(3)+(x^(2))/(2)-x+log|x+1|+c`

D

`(x^(7))/(7)-(x^(6))/(6)+(x^(5))/(5)-(x^(4))/(4)+(x^(3))/(3)+(x^(2))/(2)+x-log|x+1|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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