Home
Class 12
MATHS
The area enclosed by the curve c : y=xsq...

The area enclosed by the curve `c : y=xsqrt(9-x^2) (xgeq0)` and the x-axis is________

Text Solution

Verified by Experts

The correct Answer is:
9
Required area
`A=overset(3)underset(0)intxsqrt(9-x^(2))dx," Put "9-x^(2)=t^(2)rArr-2x" "dx =2t" "dt`
`therefore" "A=overset(3)underset(0)intt^(2)dt=9`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREA

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Single Correct Answer Type|30 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Matrix Match Type|5 Videos

  • APPLICATIONS OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise Subjective Type|2 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Comprehension|11 Videos

Similar Questions

Explore conceptually related problems

The area enclosed within the curve |x|+|y|=1 is

The area enclosed by y=sqrt(5-x^(2)) and y=|x-1| is

Knowledge Check

  • The area enclosed between the curves y=x and x^(2) =y is equal to-

    A
    ` (1)/(6)`
    B
    ` int _0^(1) (x-x^(2))dx`
    C
    ` (1)/(2)`
    D
    `(3)/(4)`

    • Similar Questions

    Explore conceptually related problems

    The area enclosed by the curves xy^2=a^2(a-x) and (a-x)y^2=a^2x is

    Find the area enclosed by the curves x^2=y , y=x+2 and x-axis

    Find the area of the region enclosed by the curve y=|x-(1)/(x)|(xgt0) and the line y=2

    Find the area bounded by the curve y=4x(x-1)(x-2) and the x-axis.

    The area of the region enclosed by the curve y=x, x=e,y=1/x and the positive X-axis is

    The area of the region whose boundaries are defined by the curves y=2 cos x, y=3 tan x, and the y-axis is

    The area enclosed between y^(2) = x and y=x is:

    Home
    Profile