Home
Class 12
MATHS
If the area bounded by the curve f(x)=x^...

If the area bounded by the curve `f(x)=x^(1//3)(x-1)` and the x-axis is A, then the value of 28A is__.

Text Solution

Verified by Experts

The correct Answer is:
9
Graph of f(x) is as

`A=overset(1)underset(0)int(x^(4//3)-x^(1//3))dx=(3)/(7)x^(3//7)-(3)/(4)x^(4//3)]_(0)^(1)`
`=|(3)/(7)-(3)/(4)|=3|(4-7)/(28)|=(9)/(28)`
`"or "28A=9`
Promotional Banner

Topper's Solved these Questions

  • AREA

    CENGAGE|Exercise JEE Main Previous Year|10 Videos

  • AREA

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

  • AREA

    CENGAGE|Exercise Exercise (Matrix)|4 Videos

  • APPLICATIONS OF DERIVATIVES

    CENGAGE|Exercise Subjective Type|2 Videos

  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|10 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve a^(2)y=x^(2)(x+a) and the x-axis is

If the area bounded by the graph of y=xe^(-ax)(agt0) and " the x-axis is "1//9 then find the value of a.

Find the area bounded by the curves y=x^(3)-x and y=x^(2)+x.

The area bounded by the curve y=x(1-log_(e)x) and x-axis is

Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of (3A)/(2) is__.

'If the area bounded by the graph of y=x e^-a x(a gt 0) and the abscissa axis is 1 / 9 then the value of ' a ' is equal to

Find the area bounded by the curves x+2|y|=1 and x=0 .

If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x , then of pi/Adot

The area bounded by y = sin^(-1)x, y= cos^(-1)x and the x-axis, is given by