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

question 76

Multiple Choice

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) \(\frac { 1 } { 2 } ( 1 - \sin 1 )\)

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Definitions:

Inference Forms

Patterns or structures of logical reasoning where conclusions are drawn from a set of premises.

MP

Short for "Member of Parliament," a representative elected to participate in the legislative process of a parliamentary democracy.

Inference Forms

Specific patterns of reasoning that are used to derive conclusions from premises.

Conj

This term may refer to a conjunction in logic, which is a compound statement formed by connecting two statements with the word "and."