WBJEE · Maths · Area Under Curves
The area of the figure bounded by the parabola \(x=-2 y^{2}, x=1-3 y^{2}\) is
- A \(\frac{1}{3}\) square unit
- B \(\frac{4}{3}\) square unit
- C 1 square unit
- D 2 square unit
Answer & Solution
Correct Answer
(B) \(\frac{4}{3}\) square unit
Step-by-step Solution
Detailed explanation
Hint: \(\mathrm{A}=\int_{-1}^{1}\left(1-3 \mathrm{y}^{2}\right)-\left(-2 \mathrm{y}^{2}\right) \mathrm{d} \mathrm{y}\) \(\Rightarrow \mathrm{A}=2 \int_{0}^{1}\left(1-\mathrm{y}^{2}\right) \mathrm{d} \mathrm{y}=\frac{4}{3}\)
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