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 Question Bank|29 Videos

  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|20 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

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

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

Area bounded by the curve y=(x-1) (x-5) and the X-axis is

The area bounded by the curve y=x(x^(2)-1) and x-axis is

Area bounded by the curve y=x^(2)+x-6 and the X-axis is

The area bounded by the curves y=sin(x-[x]),y=sin1 and the x -axis is

The area bounded by the curve y=x, the normal at (1,1) and the x-axis is

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