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GUJCET · Maths · Application of Integrals

વક્ર \(x^2=4 y\) X-અક્ષ તથા રેખા \(x=3\) થી આવૃત પ્રદેશનું ક્ષેત્રફળ _________ છે.

  1. A 2
  2. B \(\frac{9}{4}\)
  3. C \(\frac{9}{3}\)
  4. D \(\frac{9}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{9}{4}\)

Step-by-step Solution

Detailed explanation

ક્ષેત્રફળ \( A = \int_{0}^{3} \frac{x^2}{4} dx \) \( A = \frac{1}{4} \left[ \frac{x^3}{3} \right]_{0}^{3} \)
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