Find the area of the region ` { (x,y):x^(2) +y^(2) lt 1lt x +y}`
(ii) Find the area of the region `{ ( x,y): x^(2)+ y^(2) lt 2ax ,y^(2) gt ax ,x gt 0, ygt 0} `
(iii) Using integration find the area of the region ` { x,y): y^(2) lt 4x ,4x^(2) +4y^(2) lt 9}.`

Answer

` (1)/(4) (pi-2)` square units
`(ii) (1)/(12) (3pi -8) ` square units
` (iii) [( 9)/( 4)cos ^(-1)""(1)/(3) +(sqrt( 2))/( 6)]` square units