Question:medium

The area bounded by the curves $y = (x - 1)^2$, $y = (x + 1)^2$ and $y = \frac{1}{4}$ is

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Calculus Tip: Utilizing y-axis symmetry (multiplying the integral from $0$ to $x$ by 2) cuts calculation time in half and minimizes the risk of sign errors when evaluating the lower bounds.
Updated On: Apr 23, 2026
  • $\frac{1}{3}$ sq. units.
  • $\frac{2}{3}$ sq. units.
  • $\frac{1}{4}$ sq. units.
  • $\frac{1}{5}$ sq. units.
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The Correct Option is A

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