Q. Area bounded by the curve $y = \log_{e}x,x = 0,y \leq 0$ and $x$-axis is
A) 1 sq unit
B) 1/2 sq unit
C) 2 sq unit
D) None of these
Explanation
(a)
$Required\ area = \left| \int_{0}^{- \infty}{e^{y}\ \ }dy \right|$
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$= \left| {\lbrack e}^{y}\rbrack \right|_{0}^{- \infty} = 1\ sq\ unit$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.