(x^3+3 x^2+3 x+1 ) (x+1)^5 d x= - Vidyadip

MCQ

$\int \frac{\left(x^3+3 x^2+3 x+1\right)}{(x+1)^5} d x=$

✓
$\frac{-1}{x+1}+c$
B
$\left(\frac{-1}{x+1}\right)^5+c$
C
$\log (x+1)+c$
D
$\log |x+1|^5+c$

✓

Answer

Correct option: A.

$\frac{-1}{x+1}+c$

(a) $\frac{-1}{x+1}+c$
Hint:
$
x^3+3 x^2+3 x+1=(x+1)^3
$

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