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

$(a)\;\frac{x^4}{4}+\frac{x^2}{2}-x^{-1}+c \\(b)\;4x^4+2x^2+x^{-1}+c \\(c)\;\frac{x^4}{4}+x^2-x^{-1}+c \\ (d)\;None$
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1 Answer

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In this type of situation :- divide numerator by denominator
=> $ \int x^3 +x +\large\frac{1}{x^2}$$dx$
=> $ \large\frac{x^4}{4}+\frac{x^2}{2} -x^{-1}+c$
Hence a is the correct answer.
answered Jan 2, 2014 by meena.p
 
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