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

Gujarat BoardEnglish MediumSTD 12 ScienceMaths8. Application and integration1 Mark
MCQ
The area bounded by curve ${y^2} = x,$ line $y = 4$ and $y -$ axis is
  • A
    $\frac{{16}}{3}$
  • ✓
    $\frac{{64}}{3}$
  • C
    $7\sqrt 2 $
  • D
    None of these
✓

Answer

Correct option: B.
$\frac{{64}}{3}$
b
(b) Required area = area of $OABC\, -$ area of $OBC$

$ = 16 \times 4 - \int_0^{16} {\sqrt x } dx = 64 - \left[ {\frac{{{x^{3/2}}}}{{3/2}}} \right]_0^{16} = \frac{{64}}{3}.$

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