imo class 12 application of integrals

Which of the following curves is symmetric about the y-axis, making it easier to calculate its area by doubling the first-quadrant integral?

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Which of the following curves is symmetric about the y-axis, making it easier to calculate its area by doubling the first-quadrant integral?

  • A. y = x²
  • B. y = x³
  • C. y = eˣ
  • D. y = ln(x)

Answer: A) y = x²

Explanation: A curve is symmetric about the y-axis if f(−x) = f(x). y = x² is an even function, thus symmetric about the y-axis.

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