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8. Application and integration — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths8. Application and integration1 Mark
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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