The area of the region bounded by the curves $y = x ^ { 2 }$ and $y = x ^ { 4 }$ is $\frac { 4 } { 15 }$ .

Name: The area of the region bounded by the curves $y = x ^ { 2 }$ and $y = x ^ { 4 }$ is $\frac { 4 } { 15 }$ .
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The area between the curves $y = x^2$ and $y = x^4$ from $x = 0$ to $x = 1$ is calculated by integrating the difference of the functions: $\int_0^1 (x^2 - x^4) \, dx = \frac{4}{15}$.

The Area of the Region Bounded by the Curves y=x2y = x ^ { 2 }y=x2

The Area of the Region Bounded by the Curves $y = x ^ { 2 }$