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int(x^3)/(x+1)\ dx is equal to x+(x^2)/2...

`int(x^3)/(x+1)\ dx` is equal to `x+(x^2)/2+(x^3)/3-log|1-x|+C` (b) `x+(x^2)/2-(x^3)/3-log|1-x|+C` (c) `x-(x^2)/2-(x^3)/3-log|1+x|+C` (d) `x-(x^2)/2+(x^3)/3-log|1+x|+C`

A

`x + (x^(2))/(2) + (x^(3))/(3) - log|1-x| + C`

B

`x + (x^(2))/(2) - (x^(3))/(3) - log|1-x| + C`

C

`x - (x^(2))/(2) - (x^(3))/(3) - log|1 + x| + C`

D

`x - (x^(2))/(2) + (x^(3))/(3) - log|1+x| + C`

Text Solution

Verified by Experts

The correct Answer is:
D
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