Find the Value of the Integral $\int _ { 0 } ^ { \sqrt { 2 } / s } \frac { 1 } { \sqrt { 4 - 25 x ^ { 2 } } } d x$

question 180

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { \sqrt { 2 } / s } \frac { 1 } { \sqrt { 4 - 25 x ^ { 2 } } } d x$

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { \pi } { 5 }\)
• C) \(\frac { \pi } { 10 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { \pi } { 20 }\)
• F) \(\frac { \pi } { 40 }\)
• G) \(\frac { \pi } { 2 }\)
• H) \(\frac { 1 } { 20 }\)

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Definitions:

Serous Membrane

A thin layer of tissue that lines certain internal cavities of the body, producing serous fluid for lubrication.

Synovial Membrane

A type of connective tissue that lines the inner surface of synovial joints, producing synovial fluid for lubrication and nourishment of the joint.

Mucous Membrane

A layer of epithelial tissue that lines various cavities of the body and secretes mucus, which is protective and lubricating.