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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $ \int \large\frac{ e^{5x}+e^{-7x}}{e^{2x}}$$dx$

\[\begin {array} {1 1} (a)\;e^{\large\frac{4x}{4}}+\frac{e^{-6x}}{2} \\ (b)\;e^{\large\frac{3x}{5}}+e^{\frac{-9x}{2}} \\ (c)\;e^{\large\frac{3x}{8}}+\frac{e^{x}}{-9} +c \\ (d)\;None \end {array}\]

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$\int (e^{3x}+e^{-9x}).dx$
$\qquad= \large\frac{e^{3x}}{3}+\frac{e^{-9x}}{(-9)}$$+c$
Hence d is the correct answer.
answered Dec 18, 2013 by meena.p
edited Oct 13, 2014 by sharmaaparna1
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