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Find the area of the region bounded by ...

Find the area of the region bounded by the curve `y^2= x`and the lines `x = 1, x = 4`and the x-axis.

Text Solution

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The correct Answer is:
`14/3` sq. units
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Knowledge Check

  • The area of the region bounded by the curve y = x ^(2) and the line y =16 is :

    A
    `32/3`
    B
    `(256)/(3)`
    C
    `(64)/(3)`
    D
    `(128)/(3)`

  • The area bounded by the curve y^(2) = 14x and the lines x = 1, x = 4 above X-axis is

    A
    `7/3 sq. units`
    B
    `14/3 sq. units`
    C
    `28/3 sq. units`
    D
    `56/3 sq. units`

  • The area of the region bounded by the curves y = | x – 2 l, x = 1, x = 3 and the x-axis is

    A
    3
    B
    2
    C
    1
    D
    4

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    Find the area of the region bounded by the curve y = x ^ 2 and the line y = 4 .

    Find the area of the region bounded by the curve (y-1)^2=4(x+1) and the line y= x-1

    Find the area of the region bounded by the curve y^(2)=4x" and " x^(2)=4y .

    Find the area of the region bounded by the curve y^(2)=4x" and " x^(2)=4y .

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