Evaluate the Iterated Integral $\int _ { 0 } ^ { 1 } \int _ { \sqrt { x } } ^ { 1 } \cos \left( \pi y ^ { 3 } \right) d y d x$

question 220

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { 1 } \int _ { \sqrt { x } } ^ { 1 } \cos \left( \pi y ^ { 3 } \right) d y d x$ .

• A) \(( \cos 1 - 1 )\)
• B)
• \(\frac { 1 } { 3 } ( 1 - \cos 1 )\)
• C) \(\frac { 1 } { 3 } \cos 1\)
• D)1
• E) \(( \sin 1 - 1 )\)
• F)
• \(\frac { 1 } { 3 } ( 1 - \sin 1 )\)
• G) \(\frac { 1 } { 3 } \sin 1\)
• H)0

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