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

Find the area of the region bounded by the curves, `y = log_(e)x, y = sin^(4)pix and x = 0. `

Text Solution

Verified by Experts

The correct Answer is:
`11/8` sq.units
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - I|11 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|4 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves 2y^2=x, 3y^2=x+1, y=0 .

Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0 and x=3

The area of the region bounded by the curves x=y^(2)-2 and x=y is

Find the area of the region bounded by the curves x=2y-y^2 and y=2+x .

Find the area of the region bounded by the curve y=x^(3),y=x+6" and "x=0

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

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

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

MOTION-AREA UNDER THE CURVE-EXERCISE -3
  1. Compute the area of the loop of the curve y^(2) = x^(2) [(1 + x)/(1 –x...

    Text Solution

    |

  2. Compute the area of the region bounded by the curves y-e x(log)e xa n ...

    Text Solution

    |

  3. Find the area of the region bounded by the curves, y = log(e)x, y = si...

    Text Solution

    |

  4. Find the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x.Also fin...

    Text Solution

    |

  5. If the area enclosed by the parabolas y = a – x^(2 )and y = x^(2) is 1...

    Text Solution

    |

  6. Find the area of the region enclosed by the curve y = x^(4) – 2x^(2) a...

    Text Solution

    |

  7. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

    Text Solution

    |

  8. Compute the area of the curvilinear triangle bounded by the y-axis and...

    Text Solution

    |

  9. For what value of ‘a’ is the area of the figure bounded by the lines y...

    Text Solution

    |

  10. Given f(x) = int(0)^(x)e^(t)(ln sec t - sec ^(2) t ) dt, g(x)= - 2e^(x...

    Text Solution

    |

  11. Find the values of m (m gt 0) for which the area bounded by the line y...

    Text Solution

    |

  12. For what value of 'a' is the area bounded by the curve y=a^2x^2 +ax+...

    Text Solution

    |

  13. Consider the collection of all curve of the form y = a – bx^(2) that p...

    Text Solution

    |

  14. For the curve f(x) = 1/(1+x^(2) , let two points on it are A(alpha, f(...

    Text Solution

    |

  15. Let ‘c’ be the constant number such that c gt 1. If the least area ...

    Text Solution

    |

  16. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

    Text Solution

    |

  17. For what values of a in [0, 1] does the area of the fiqure bounded by ...

    Text Solution

    |

  18. A figure is bounded by the curves y =|sqrt2 sin((pix)/4)|,y=0, x=2&x=4...

    Text Solution

    |

  19. The line 3x +2y=13 divides the area enclosed by the curve, 9x^2+4y^2-1...

    Text Solution

    |

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

    Text Solution

    |