Evaluate the Improper Integral $\int _ { 1 } ^ { 2 } \frac { 1 } { \sqrt { 4 - x ^ { 2 } } } d x$

question 48

Multiple Choice

Evaluate the improper integral $\int _ { 1 } ^ { 2 } \frac { 1 } { \sqrt { 4 - x ^ { 2 } } } d x$

• A) \(\frac { \pi } { 3 }\)
• B)0
• C) \(\pi\)
• D) \(\frac { 3 } { 2 }\)
• E) \(\frac { \pi } { 2 }\)
• F) \(\frac { \pi } { 6 }\)
• G)1
• H)Divergent

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Definitions:

Ainsworth

Mary Ainsworth, known for her work in developmental psychology, especially attachment theory.

Attachment

An emotional bond that forms between individuals, particularly between a child and caregiver, which is crucial for child development and influences relationships in adulthood.

Decades

Periods of ten years, often used to refer to specific historical or cultural epochs.

Universal

Universal describes principles, concepts, or elements that are applicable to all situations without variation or exceptions.