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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate: $\int \large\frac{(x^3+5x^2-3)}{(x+1)}$$dx$

\[\begin {array} {1 1} (a)\;\frac{x^3}{3}+2x^2-4x+\log |x+1|+c \\ (b)\;\frac{x^4}{4}+10x^2-3x+5+c \\ (c)\;x^3+5x^2-3+\log |x+1|+c \\ (d)\;x^2+4x-4x^2+\log |x+1|+c \end {array}\]

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1 Answer

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$\int \large\frac{(x^3+5x^2-3)}{(x+1)}$$dx$
After derive this we get,
$\int (x^2+4x-4+\large\frac{1}{x+1})$$dx$
$ \large\frac{x^3}{3}$$+2x^2-4x+\log |x+1|+c $
Hence a is the correct answer.
answered Dec 17, 2013 by meena.p
 
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