Plotting the diagram of y=∣x2−1∣ and y=1, we get,
Area of the region between the two curves
=2∫02(1−∣x2−1∣)dx
=2[∫01(1+(x2−1))dx+∫12(1−(x2−1))dx]
=2[3x3]01+2[2x−3x3]12
=2(31)+2(22−322)−2(2−31)
=38(2−1)
The area bounded by the curves y=∣x2−1∣ and y=1 is
Held on 26 Jul 2022 · Verified 6 Jul 2026.
32(2+1)
34(2−1)
2(2−1)
38(2−1)
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