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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $ \int \sqrt {x} (6x^4 +2(x) ^{3/2} +\large\frac{8}{\sqrt x } ) $$dx$

$(a)\;\frac{12}{11}x^{11/2} +\frac{2x^4}{3} +8x+c \qquad(b)\;\frac{12}{11}x^{11/2} +\frac{2x^3}{3} +8x+c \qquad(c)\;x^{11/2} +c \qquad (d)\;None$

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1 Answer

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$\int (6x^{9/2} +2x^2 +8) dx$
$\qquad= 6. x^{11/2} \times \large\frac{2}{11}+ \frac{2 \times x^3}{3} +8x +c$
$\qquad= \large\frac{12}{11}x^{11/2} +\frac{2x^3}{3}$$ +8x+c $
Hence b is the correct option
answered Dec 23, 2013 by meena.p
 
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