The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] $ \le $ y $ \le $ 2$\sqrt x $, 0 $ \le $ x $ \le $ 2}, where [t] denotes the greatest integer function, is :

Question

The area (in sq. units) of the region

A = {(x, y) : (x – 1)[x] $ \le $ y $ \le $ 2$\sqrt x $, 0 $ \le $ x $ \le $ 2}, where [t]

denotes the greatest integer function, is :

${8 \over 3}\sqrt 2 - 1$

${4 \over 3}\sqrt 2 + 1$

${8 \over 3}\sqrt 2 - {1 \over 2}$

${4 \over 3}\sqrt 2 - {1 \over 2}$

Solution

Please login to view the detailed solution steps...

Go to DASH