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GUJCET · Maths · Application of Integrals
Area of the region bounded by curve \(y^2=x, X\)-axis and lines \(x=1\) and \(x=4\) in first quadrant is __________ sq. units.
- A \(\frac{14}{3}\)
- B \(\frac{28}{3}\)
- C \(\frac{7}{3}\)
- D 14
Answer & Solution
Correct Answer
(A) \(\frac{14}{3}\)
Step-by-step Solution
Detailed explanation
Area \(A = \int_{1}^{4} \sqrt{x} \, dx\) \(A = \left[ \frac{2}{3}x^{3/2} \right]_{1}^{4}\)
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