The area bounded by the curves \(y=x^{2}\) and \(y=2|x|\) is
Answer & explanation
Correct answer: option 3
Area = $2\int\limits_{0}^{2}(2x-x^{2})dx$
$=2\left(4-\frac{8}{3}\right)=2×\frac{4}{3}$
$=\frac{8}{3}$ sq. units
The area bounded by the curves \(y=x^{2}\) and \(y=2|x|\) is
Correct answer: option 3
Area = $2\int\limits_{0}^{2}(2x-x^{2})dx$
$=2\left(4-\frac{8}{3}\right)=2×\frac{4}{3}$
$=\frac{8}{3}$ sq. units