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MCQ

**Choose the correct alternative from the following.**

`int (("x"^3 + 3"x"^2 + 3"x" + 1))/("x + 1")^5 "dx"` =

#### Options

`(-1)/"x + 1"` + c

`((-1)/"x + 1")^5` + c

log(x + 1) + c

log |x + 1|

^{5}+ c

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#### Solution

`(-1)/"x + 1"` + c

**Explanation:**

`int (("x"^3 + 3"x"^2 + 3"x" + 1))/("x + 1")^5 "dx" = int ("x + 1")^3/("x + 1")^5` dx

`= int 1/("x + 1")^` dx

`= (-1)/"x + 1"` + c

Is there an error in this question or solution?