Home
Class 12
MATHS
Find the area of the region bounded by ...

Find the area of the region bounded by the curve `y^2=4x` and the line `x = 3`.

Text Solution

Verified by Experts

Since the equation `y^2=4x` contains only even powers of y the curve is symmetrical about the y - axis
`therefore ` required area = `2.underset(0)overset(3)int2sqrt(x)`dx
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    RS AGGARWAL|Exercise Exercise 17|39 Videos

  • APPLICATIONS OF DERIVATIVES

    RS AGGARWAL|Exercise Objective Questions|89 Videos

  • BAYES'S THEOREM AND ITS APPLICATIONS

    RS AGGARWAL|Exercise Exercise 30|18 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curve y=x^(2) and the line y=4

Find the area of the region bounded by the curve y^(2)=x and the lines x=1,x=4 and the x-axis.

Find the area of the region bounded by the curve (y-1)^2=4(x+1) and the line y= x-1

Find the area of the region bounded by the curve y =x ^(2) and the line y =4.

Find the area of the region bounded by the curve y = x ^ 2 and the line y = 4 .

Using integration, find the area of the region bounded by the parabola y^(2)=4x and the line x=4 .

Find the area of the region bounded by the curves y=x^(3) and the lines y=x+6 and y=0

Find the are of the region bounded by the curve y=x^2 + 2 and the lines y = x,x =0 and 3

Find the area of the region bounded by the curve xy=1 and the lines y=x,y=0,x=e

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

RS AGGARWAL-AREA OF BOUNDED REGIONS -Exercise 17
  1. Determine the area under the curve y=sqrt(a^2-x^2) included between th...

    Text Solution

    |

  2. Using integration, find the area of the region bounded by the line 2y ...

    Text Solution

    |

  3. Find the area of the region bounded by the curve y^2=4x and the line ...

    Text Solution

    |

  4. Evaluate the area bounded by the ellipse (x^2)/(4)+(y^2)/(9)=1 above...

    Text Solution

    |

  5. Using integration, find the area of the region bounded by the lines Y ...

    Text Solution

    |

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

    Text Solution

    |

  7. Using integration, find the area of the region bounded by the triangle...

    Text Solution

    |

  8. Using integration, find the area of the region bounded by the lines...

    Text Solution

    |

  9. Using intergration find the are of the region bounded between the lin...

    Text Solution

    |

  10. Using integration, find the area of the region bounded by the line y-1...

    Text Solution

    |

  11. Sketch the region lying in the first quadrant and bounded by y = 4x^2 ...

    Text Solution

    |

  12. Sketch the region lying in the first quadrant and bounded by y=9x^2...

    Text Solution

    |

  13. Find the area of the region enclosed between the two circles x^2 + y^2...

    Text Solution

    |

  14. Sketch the region common to the circle x^2 +y^2=16 and the parabola x...

    Text Solution

    |

  15. Sketch the region common to the cirvle x^2+y^2=25 and the parabola y^...

    Text Solution

    |

  16. Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 }...

    Text Solution

    |

  17. Draw a rough sketch and find the area of the region bounded by the par...

    Text Solution

    |

  18. Find by intergraiton the area bounded by the curve y^2 = 4ax and the l...

    Text Solution

    |

  19. Draw a rough sketch of the curve y=x/pi + 2 sin^2 x, and find the area...

    Text Solution

    |

  20. Find the area bounded by the curve y=cos x between x=0 and x=2pi

    Text Solution

    |