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`.

A

`(7)/(3)` Sq. unit

B

`(4)/(5)` Sq. unit

C

`(3)/(4)` Sq. unit

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE)|50 Videos

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 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.

DISHA PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE-2: CONCEPT BUILDER
  1. Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s ...

    Text Solution

    |

  2. The value of k for which the area of the figure bounded by the curve y...

    Text Solution

    |

  3. Find the area of the region lying in the first quadrant and bounded b...

    Text Solution

    |

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

    Text Solution

    |

  5. Let f and g be continuous functions on [ 0 , a] such that f(x)=f(x)=...

    Text Solution

    |

  6. The area bounded by the curves y= "sin" x, y= cos x and y-axis in 1 qu...

    Text Solution

    |

  7. Find the area of the region bounded by the ellipse (x^2)/(16)+(y^2)/9...

    Text Solution

    |

  8. Find the area of the region enclosed by the curves y=xlogxa n dy=2x-2x...

    Text Solution

    |

  9. The area between the curves y= x^(2) and y = (2)/(1 + x^(2)) is equal ...

    Text Solution

    |

  10. Find the area of the region bounded by the curves y=x^2+2y=x ,x=0,a n ...

    Text Solution

    |

  11. The area bounded by the parabola y=(x+1)^2 and y=(x-1)^2 and the line ...

    Text Solution

    |

  12. The area of the region lying between the line x-y+2=0 and the curve x=...

    Text Solution

    |

  13. Area bounded by the curve y = sin x between .x = 0 and x = 2pi is

    Text Solution

    |

  14. The maximum area of a rectangle whose two vertices lie on the x-axis a...

    Text Solution

    |

  15. The area bounded by y-1 = |x|, y = 0 and |x| = (1)/(2) will be :

    Text Solution

    |

  16. The area bounded by f (x)=x^(2), 0 le x le 1, g(x)=-x+2,1 le x le 2 ...

    Text Solution

    |

  17. Find the area of the region R which is enclosed by the curve ygeqsqrt(...

    Text Solution

    |

  18. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  19. Find the area bounded by the curve y=2x-x^2 and the straight line y=-x

    Text Solution

    |

  20. The area of the region bounded by x = 1/2, x=2, y =ln x and y = 2^x is

    Text Solution

    |