Home
Class 12
MATHS
Find the area under the given curves and...

Find the area under the given curves and given lines:
(i) `y = x^(2), x = 1, x = 2` and x -axis
(ii) `y = x^(4), x = 1, x = 5` and x -axis.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(7)/(3)` sq.unit
(ii)624.8 sq.unit
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|5 Videos
  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS AND SOLUTIONS|8 Videos
  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 8.2|5 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 bounded by the curves y = sin x, y = cos x between x axis, x = 0 and x = (pi)/(2)

Find the area of the region bounded by the parabola y = x^(2) + 2 , x-axis, x = 0 and x = 3.

Find the area of the region bounded by y_(2) = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y^(2) = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

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

Find the area under the curve y = x^(2) above x-axis between the lines x = 6 and x = 4.

NEW JOYTHI PUBLICATION-APPLICATION OF INTEGRALS-SOLUTIONS TO NCERT MISCELLANEOUS EXERCISE
  1. Find the area under the given curves and given lines: (i) y = x^(2),...

    Text Solution

    |

  2. Find the area between the curves y = x and y = x^(2).

    Text Solution

    |

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

    Text Solution

    |

  4. Sketch the graph of y = |x + 3| and evaluate int(-6)^(0)|x + 3| dx.

    Text Solution

    |

  5. Find the area bounded by the curve y = sin x between x = 0 and x = 2pi...

    Text Solution

    |

  6. Find the area enclosed between the parabola y^(2) = 4ax and the line y...

    Text Solution

    |

  7. Find the area enclosed by the parbola 4y=3x^(2) and the line 2y = 3x +...

    Text Solution

    |

  8. Find the area of the smaller region bounded by the ellipse (x^(2))/(9)...

    Text Solution

    |

  9. Find the area of the smaller region bounded by the ellipse (x^(2))/(a^...

    Text Solution

    |

  10. Find the area of the region enclosed by the parabola x^(2) = y and the...

    Text Solution

    |

  11. Using the method of integration find the area bounded by the curve |x|...

    Text Solution

    |

  12. Find the area bounded by curves {(x,y): y ge x^(2) and y = |x|}

    Text Solution

    |

  13. Using the method of integration find the area of the triangle ABC, coo...

    Text Solution

    |

  14. Using the method of integration find the area of the region bounded by...

    Text Solution

    |

  15. Find the area of the region {(x,y): y^(2) le 4x, 4x^(2) + 4y^(2) le 9...

    Text Solution

    |

  16. Choose the correct answer in the following Exercises from 16 to 20 1...

    Text Solution

    |

  17. The area bounded by the curve y = x|x|, x-axis and the ordinates x = -...

    Text Solution

    |

  18. The area of the circle x^(2) + y^(2) = 16 exterior to the parabola y^(...

    Text Solution

    |

  19. The area bounded by the y-axis, y = cos x and y = sin x when 0 le x le...

    Text Solution

    |