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JEE-Mains 2014 (14/30)

Calculus Level 3

$\large \int \left( 1+x-\frac{1}{x} \right) e^{x+\frac{1}{x}}\, dx = \ ?$

(x+1)e^{x+\frac{1}{x}}+c

xe^{x+\frac{1}{x}}+c

(x-1)e^{x+\frac{1}{x}}+c

-xe^{x+\frac{1}{x}}+c

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by Sandeep Bhardwaj

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