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int(x^(4)+x+1)/(x^(2)-x+1)dx is equal to...

`int(x^(4)+x+1)/(x^(2)-x+1)dx` is equal to

A

`(x^(3))/(3)-(x^(2))/(2)+x+C`

B

`(x^(3))/(3)+(x^(2))/(2)+x+C`

C

`(x^(3))/(3)-(x^(2))/(2)-x+C`

D

`(x^(3))/(3)+(x^(2))/(2)-x+C`

Text Solution

Verified by Experts

The correct Answer is:
B
`int(x^(4)+x^(2)+1)/(x^(2)-x+1)dx=int(x^(2)+x+1)dx`
`=(x^(3))/(3)+(x^(2))/(2)+x+C`
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