1.

`intx^3/(x+1)dx`is equal to: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`

Answer» Correct Answer - A
Let ` I = int(x^(3))/(x+1)dx`
`= int (x^(2) - x + 1) - (1)/((x+1))dx`
` = (x^(3))/(3) - (x^(2))/(2) + x - log |x+1|+C`


Discussion

No Comment Found