Home
Class 12
MATHS
Find the area of the region lying in th...

Find the area of the region lying in the first quadrant and bounded by `y=4x^2`,`x = 0, y = 1 a n d y = 4`.

Text Solution

Verified by Experts

The correct Answer is:
`=1/3 [4^(3//2)-1]=1/3[8-1]=7/3=2 1/3` sq.units
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 1|17 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 2 (LEVEL-I)|25 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region lying in the first quadrant and bounded by y=4x^(2)x=0,y=1 and y=4

Sketch the region lying in the first quadrant and bounded by y = 4x^2 ,x = 0, y = 2 and y = 4. Find the area of the region using integration.

Find the area of the region in the first quadrant enclosed by x=y^(2) and x =y+2

The area of the region lying in the first quadrant and bounded by the curve y = 4x ^(2), and the lines y =2 and y =4 is "___________"

Find the area of the region lying in the first quadrant bounded by the curve y^(2)=4x , X axis and the lines x=1, x=4 .

Sketch the region lying in the first quadrant and bouded by y=1 and y=4. Find the y=9x^(2),x=0,y=1 and y=4. Find the area of the region using integration.

Compute the area of the figure lying in the first quadrant and bounded by the curves y^(2)= 4x, x^(2) = 4y and x^(2) + y^(2) = 5

Find the area lying in the first quadrant and bounded by the curve y=x^(3) and the line y=4x.