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Find the area of the region {(x, y): x^2...

Find the area of the region `{(x, y): x^2 le y le x + 2}` , using integration.

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Knowledge Check

  • The area of the region {(x,y):x^(2)+y^(2) le 1 le x+y} , is

    A
    `(pi)/(5)`
    B
    `(pi)/(4)`
    C
    `(pi^(2))/(4)`
    D
    `(pi)/(4)-(1)/(2)`

  • The area of the region {(x,y):xyle 8,le yle x^2} is

    A
    `8log_e2 -(14)/(3)`
    B
    `8 log_e 2-(7)/(3)`
    C
    `16 log_e2-(14)/(3)`
    D
    `16 log_e 2-6`

  • The area of the region {(x,y): xy le 8,1 le y le x^(2)} is :

    A
    `8 log_(e )2-(14)/(3)`
    B
    `8 log_(e )2-(7)/(3)`
    C
    `16 log_(e )2-6`
    D
    `16 log_(e )2-(14)/(3)`