Definitely Integrating

Calculus Level 3

Evaluate:

\(\displaystyle \int _{ \frac { \pi }{ 6 } }^{ \frac { \pi }{ 4 } }{ \cos\theta (\sin\theta -1)^{ 3 }\quad d\theta } \)

Hint: Use the substitution \(u = \sin\theta\).

Give to 3 decimal places.

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