Teaching UP PGT Mock Test Series 2024 Mathematics Integral Calculus Application of Integrals

The area (in sq. units) of the region described by \(A = \left \{(x, y)| y \geq x^{2} - 5x + 4, x + y \geq 1, y \leq 0\right \}\) is:

1
\(\dfrac {17}{6}\)
2
\(\dfrac {13}{6}\)
3
\(\dfrac {19}{6}\)
4
\(\dfrac {7}{2}\)
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