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Organic Chemistry 2

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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

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