Area bounded by curve xy = c, x - axis between x = 1 and x = 4, i… - Vidyadip

MCQ

Area bounded by curve $xy = c,$ $x - $ axis between $x = 1$ and $x = 4,$ is

✓
$2c\log 2\,\, sq. \,unit$
B
$2\log c\,\, sq. \,unit$
C
$c\log 3\,\, sq. \,unit$
D
$2c\log 5\,\, sq. \,unit$

✓

Answer

Correct option: A.

$2c\log 2\,\, sq. \,unit$

a
(a) Required area $ = \int_1^4 {y\,dx = c\int_1^4 {\frac{1}{x}dx} } $

$=2c\log 2\,\, sq. \,unit$.

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