Area bounded by the curve x y= c , X-axis between x=1, x=4 is - Vidyadip

MCQ

Area bounded by the curve $x y= c , X$-axis between $x=1, x=4$ is

A
c $\log 3$ sq. units
B
$2 \log$ c sq. units
✓
2c $\log 2$ sq. units
D
2c $\log 5$ sq. units

✓

Answer

Correct option: C.

2c $\log 2$ sq. units

(C)
$\text {Required area} =\int_1^4 y \ d x= c \int_1^4 \frac{1}{x} d x$
$=2 c \log 2 \text { sq. units. }$

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