Use a double integral to find the area of the region bounded by the graphs of $y = x ^ { 13 / 2 }$ and $y = x$ .
A) $2$
B) $11$
C) $\frac { 13 } { 2 }$
D) $\frac { 13 } { 15 }$
E) $\frac { 11 } { 30 }$

Question

Quizplus · Accepted Answer

The area between the curves $y = x^{13/2}$ and $y = x$ from $x = 0$ to $x = 1$ is given by the integral $\int_0^1 (x - x^{13/2}) \, dx$. Evaluating this integral gives $\frac{11}{30}$.

Use a Double Integral to Find the Area of the Region