Question

Let f(x) = Min( x +1 , ) for all x £ 1. Then area bounded by y = f(x) and the x-axis is -

• A. $\frac { 7 } { 6 }$
• B. $\frac { 7 } { 5 }$
• C. $\frac { 6 } { 7 }$
• D. None of these

Answer 1

Answer: (A)

$\frac { 7 } { 6 }$

Answer 2

Area = = $\int _ { 0 } ^ { 1 } \left[ \left( 1 - y ^ { 2 } \right) - ( y - 1 ) \right] d y$ =$\frac { 7 } { 6 }$sq. units