Free Version
Difficult

Reverse Order of Integration III

MVCALC-EYE4DP

Computer the integral below by changing the order of integration:

$$I=\int_0^{(\frac{\pi}{6})^{\frac{2}{3}}}\int_{\sqrt{y}}^{(\frac{\pi}{6})^{\frac{1}{3}}}\cos(x^3)dxdy$$

A

$I=\cfrac{1}{2}$

B

$I=\cfrac{1}{3}$

C

$I=\cfrac{1}{4}$

D

$I=\cfrac{1}{6}$

E

$I=\cfrac{1}{12}$