The area (in square unit) of the region enclosed by the curves $y = x^{2}$ and $y = x^{3}$ is

Question

Dr. Abubacker · Accepted Answer

(a)
Intersection point of given curves is (1,1)
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$	herefore Area = \int_{0}^{1}{\left( x^{2} - x^{3} ight)dx}$
$= \left\lbrack \frac{x^{3}}{3} - \frac{x^{4}}{4} ightbrack_{0}^{1}$
$= \frac{1}{12}\ sq\ unit$

Q. The area (in square unit) of the region enclosed by the curves $y = x^{2}$ and $y = x^{3}$ is

Explanation

Reviewed by Dr. Abubacker

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