Question:
The area of the region given by \(A =\left\{( x , y ): x ^2 \leq y \leq \min \{ x +2,4-3 x \}\right\}\) is :
The area of the region given by \(A =\left\{( x , y ): x ^2 \leq y \leq \min \{ x +2,4-3 x \}\right\}\) is :
Updated On: Mar 20, 2025
- \(\frac{31}{8}\)
- \(\frac{17}{6}\)
- \(\frac{19}{6}\)
- \(\frac{27}{8}\)
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The Correct Option is B
Solution and Explanation
The correct option is(B): \(\frac{17}{6}\).
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Concepts Used:
Applications of Integrals
There are distinct applications of integrals, out of which some are as follows:
In Maths
Integrals are used to find:
- The center of mass (centroid) of an area having curved sides
- The area between two curves and the area under a curve
- The curve's average value
In Physics
Integrals are used to find:
- Centre of gravity
- Mass and momentum of inertia of vehicles, satellites, and a tower
- The center of mass
- The velocity and the trajectory of a satellite at the time of placing it in orbit
- Thrust