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Multivariable Calculus

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Difficult

Integrating Symmetric Function on Unsymmetrical Region

MVCALC-D4L6AU

Compute the double integral:

$$I=\iint_R \sqrt{x^2+y^2}dA$$

...with the region $R$ has boundaries on line $y=x$ and parabola $y=x^2$.

A

$\cfrac{\pi}{2}$

B

$\cfrac{2(\sqrt{2}+1)}{45}$

C

$\ln 2$

D

$3\pi$

E

None of the above