CUET · MATHS · PYQ PAPER 2023
Area of the region bounded by \(y=-1, y=2, x=y^3\) and \(x=0\) is :
- A \(\frac{13}{4}\) sq. units
- B \(\frac{15}{4}\) sq. units
- C \(\frac{17}{4}\) sq. units
- D \(\frac{19}{4}\) sq. units
Answer & Solution
Correct Answer
(C) \(\frac{17}{4}\) sq. units
Step-by-step Solution
Detailed explanation
\(A = \int_{-1}^{2} |y^3| dy\) \(A = \int_{-1}^{0} (-y^3) dy + \int_{0}^{2} y^3 dy\) \(A = \left[-\frac{y^4}{4}\right]_{-1}^{0} + \left[\frac{y^4}{4}\right]_{0}^{2}\) \(A = \left(0 - (-\frac{1}{4})\right) + \left(\frac{16}{4} - 0\right)\) \(A = \frac{1}{4} + 4\)…
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