Question
Evaluate : $\int \frac{x^3}{x+2} d x$
✓
Answer
(b) : Let $I=\int \frac{x^3}{x+2} d x$
Dividing $x^3$ by $x+2$, we get
$
=\int\left(x^2-2 x+4-\frac{8}{x+2}\right) d x=\frac{x^3}{3}-x^2+4 x-8 \log |x+2|+C
$
Dividing $x^3$ by $x+2$, we get
$
=\int\left(x^2-2 x+4-\frac{8}{x+2}\right) d x=\frac{x^3}{3}-x^2+4 x-8 \log |x+2|+C
$
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