Evaluate the Iterated Integral $\int _ { 0 } ^ { 1 } \int _ { x } ^ { 1 } \cos \left( y ^ { 2 } \right) d y d x$

Evaluate the iterated integral $\int _ { 0 } ^ { 1 } \int _ { x } ^ { 1 } \cos \left( y ^ { 2 } \right) d y d x$ .

A) $\frac { 1 } { 2 } ( \cos 1 - 1 )$

B) $\frac { 1 } { 2 } ( 1 - \cos 1 )$
C) $\frac { 1 } { 2 } \cos 1$
D) 1
E) $\frac { 1 } { 2 } ( \sin 1 - 1 )$
F) $\frac { 1 } { 2 } ( 1 - \sin 1 )$

G) $\frac { 1 } { 2 } \sin 1$
H) 0

Correct Answer:

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