Question

A curve is given by y = The area lying between the curve and the x-axis is equal to

• A. (2p – $\sqrt { 3 }$ + 36)/6
• B. (2p – $\sqrt { 3 }$ + 36)/12
• C. (2p – $\sqrt { 3 }$ + 36)/3
• D. None of these

Answer 1

Answer: (A)

(2p – $\sqrt { 3 }$ + 36)/6

Answer 2

Area = $\int _ { 0 } ^ { 1 } \sqrt { 4 - x ^ { 2 } } d x + \int _ { 1 } ^ { 3 } \sqrt { 3 x } d x$

= $\frac { 2 \pi - \sqrt { 3 } + 36 } { 6 }$