Question:

Area bounded by \(0 ≤ y ≤ \text {min}(x^2+ 2, 2x + 2)\)\(x∈[0, 3]\), then \(12A\) is

Updated On: Mar 20, 2025
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Correct Answer: 164

Solution and Explanation

The answer is 164.
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Concepts Used:

Area under Simple Curves

  • The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b > a) - given by the formula:
\[\text{Area}=\int_a^bydx=\int_a^bf(x)dx\]
  • The area of the region bounded by the curve x = φ (y), y-axis and the lines y = c, y = d - given by the formula:
\[\text{Area}=\int_c^dxdy=\int_c^d\phi(y)dy\]

Read More: Area under the curve formula