Home
Class 12
MATHS
Calculate the area bounded by the curve:...

Calculate the area bounded by the curve: `f(x)=sin^2(x/2)`, axis of x and the ordinates: x=0,`x=pi/2`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

Similar Questions

Explore conceptually related problems

Area bounded by the curve y = x^3 , the x-axis and the ordinates x = – 2, x = 1 is:

The area bounded by the curve y = x|x| ,x-axis and the ordinates x=-1, x=1 is given by:

The area bounded by the curve y=3/|x| and y+|2-x|=2 is

The area bounded by the curve y = sin x, pi le x le 2 pi and the x-axis is

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

MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. (ii) Using definite integrals, find the area of the circle (x-1)^2+y^2...

    Text Solution

    |

  2. Determine the area enclosed between the curve y=cos 2x, 0lexlepi/4 and...

    Text Solution

    |

  3. Calculate the area bounded by the curve: f(x)=sin^2(x/2), axis of x an...

    Text Solution

    |

  4. Draw a rough sketch of the curve y=cos^2x in [0,pi] and find the area ...

    Text Solution

    |

  5. (i) Make a rough sketch of the graph of the function y=sin x,0lexlepi/...

    Text Solution

    |

  6. (ii) Find the area bounded by the curve : (I) y=sin x between x=0 and ...

    Text Solution

    |

  7. Find the area bounded by the curve y = cosx between x=0, x= 2pi.

    Text Solution

    |

  8. Find the slopes of the tangent and normal to the curve given by : x=a...

    Text Solution

    |

  9. (i) Make a rough sketch of the graph of the function y=sin x,0lexlepi/...

    Text Solution

    |

  10. Draw a rough sketch of y=sin 2x and determine the area enclosed by the...

    Text Solution

    |

  11. (ii) Draw the graph of y=cos 3x, 0lexlepi/6 and find the area between ...

    Text Solution

    |

  12. Make a rough sketch of the graph of y=cos^2x,0lexlepi/2 and find the a...

    Text Solution

    |

  13. Using integration, find the area of the region bounded by the circle x...

    Text Solution

    |

  14. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off by...

    Text Solution

    |

  15. Find the area under the given curves and given lines: y = x^2, x = 1, ...

    Text Solution

    |

  16. Draw a rough sketch of the curve y^2+1=x,xle2. Find the area enclosed ...

    Text Solution

    |

  17. Find the area of the region bounded by the elipse (x^(2))/9+(y^(2))/4=...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the area of the region bounded by the ellipse : 4x^2+25y^2=1.

    Text Solution

    |

  20. Find the area between the curve x^2/a^2+y^2/b^2=1 and the x-axis betwe...

    Text Solution

    |