CUET · MATHS · PYQ PAPER 2025
The area (in sq. units) of the region bounded by \(y=-2, y=2, x=y^3\) and \(x=0\) is equal to
- A 4
- B 6
- C 8
- D 16
Answer & Solution
Correct Answer
(C) 8
Step-by-step Solution
Detailed explanation
Area \( = \int_{-2}^{2} |y^3 - 0| dy \) \( = \int_{-2}^{2} |y^3| dy \) \( = 2 \int_{0}^{2} y^3 dy \) \( = 2 \left[ \frac{y^4}{4} \right]_{0}^{2} \) \( = 2 \left( \frac{2^4}{4} - \frac{0^4}{4} \right) \) \( = 2 \left( \frac{16}{4} - 0 \right) \) \( = 2(4) \) \( = 8 \)
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