CUET · MATHS · PYQ PAPER 2025
Area of region bounded by the curves \(x=y^3, x=0\) between \(y=-1\) and \(y=2\) is :
- A \(\frac{15}{4}\) sq. units
- B \(\frac{17}{4}\) sq. units
- C \(\frac{19}{4}\) sq. units
- D \(\frac{21}{4}\) sq. units
Answer & Solution
Correct Answer
(B) \(\frac{17}{4}\) sq. units
Step-by-step Solution
Detailed explanation
Area \( A = \int_{-1}^{0} -y^3 dy + \int_{0}^{2} y^3 dy \) \( A = \left[-\frac{y^4}{4}\right]_{-1}^{0} + \left[\frac{y^4}{4}\right]_{0}^{2} \) \( A = \left(0 - \left(-\frac{1}{4}\right)\right) + \left(\frac{16}{4} - 0\right) = \frac{1}{4} + 4 = \frac{17}{4} \)
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