$\text { Determine whether the improper integral } \int _ { 7 } ^ { 8 } \frac { 1 } { \sqrt { 64 - x ^ { 2 } } } d x \text { diverges or converges. }$

question 18

Multiple Choice

$\text { Determine whether the improper integral } \int _ { 7 } ^ { 8 } \frac { 1 } { \sqrt { 64 - x ^ { 2 } } } d x \text { diverges or converges. }$ Evaluate the integral if it converges.

• A) \(\frac { \pi } { 2 } - \arcsin \left( \frac { 7 } { 8 } \right)\)
• B) \(\frac { \pi } { 16 } - \arcsin \left( \frac { 7 } { 8 } \right)\)
• C) \(\frac { \pi } { 2 } - \arcsin \left( \frac { 7 } { 64 } \right)\)
• D) \(\frac { \pi } { 16 } - \arcsin \left( \frac { 7 } { 64 } \right)\)
• E) diverges

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