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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus

$\int \limits_0^1 e^{x^2}. (x- \alpha) dx $. then , $\alpha =? $

\[\begin {array} {1 1} (a)\;1 < \alpha < 2 \\ (b)\;\alpha < 0 \\ (c)\;0< 2 < 1 \\ (d)\; 2 < 0 \end {array}\]

1 Answer

There will be that point in $(0,1)$ where $e^{x^2} (x- \alpha)=0$
$x=\alpha$
But $0 < x <1$ the $\alpha$ will be => $0 < \alpha <1 $
Hence c is the correct answer.
answered Dec 16, 2013 by meena.p
edited Oct 13, 2014 by sharmaaparna1
 
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