Application of Integrals: The area (in square units) of the region bounded by the curves… | JEE Main 2015 | Yukti Vault

Yukti Vault

JEE Main 2015 (Online) 10th AprilQuestion 1

The area (in square units) of the region bounded by the curves $y+2x^2=0$ and $y+3x^2=1$, is equal to

Application of Integrals

$\frac34$ sq. units$\frac13$ sq. units$\frac35$ sq. units$\frac43$ sq. units✓ Correct answer

Solution

$-2x^2=1-3x^2\Rightarrow x=\pm1$. Area $=\int_{-1}^{1}(1-x^2)dx=\frac43$.

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