Home
Class 12
MATHS
Area of the regionbounded by the curve y...

Area of the regionbounded by the curve y =cos xbetween x = 0 and `x=pi` is

A

`2" sq units"`

B

`4" sq units"`

C

`3" sq units"`

D

`1" sq unit"`

Text Solution

Verified by Experts

The correct Answer is:
A
Required area enclosed by the curve `y=cosx, x=0" and " x=pi` is

`A=int_(0)^(pi//2)cosx dx +abs(int_(pi//2)^(pi)cosxdx)
`=[sin.pi/2-sin0]+abs(sin.pi/2-sinpi)`
`=1+1=2" sq units"`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT EXEMPLAR|Exercise Application Of Derivatives|64 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT EXEMPLAR|Exercise Continuity And Differentiability|212 Videos

Similar Questions

Explore conceptually related problems

Area of the regionbounded by the curve y = "cos" x between x = 0 and x = pi is

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

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

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

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

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

The area of the region bounded by the curve y=x"sin"x, x-axis, x=0 and x=2pi is :

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

Find the area of that region bounded by the curve y="cos"x, X-axis, x=0 and x=pi .

NCERT EXEMPLAR-APPLICATION OF INTEGRALS-Application Of Integrals
  1. Find the area bounded by the curve y=sqrtx,x=2y+3 in the first quadran...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the area of region by the curve y=sinx" between "x=0" and "x=2pi.

    Text Solution

    |

  4. Using integration find the area of region bounded by the triangle who...

    Text Solution

    |

  5. Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...

    Text Solution

    |

  6. Compute the area bounded by the lines x + 2y =2; y - x = 1 and 2x + y ...

    Text Solution

    |

  7. Find the area bounded by the lines y=4x+5, y=5-x" and "4y=x+5.

    Text Solution

    |

  8. Find the area bounded by the curve y=2 cosx and the X-axis from x = ...

    Text Solution

    |

  9. Draw a rough sketch of the given curve y=1+abs(x+1),x=-3, x-=3, y=0 an...

    Text Solution

    |

  10. The area of the region bounded by the Y-axisy=cos x and y=sin x Where...

    Text Solution

    |

  11. The area of the region bounded by the curve x^(2)=4y and the straight ...

    Text Solution

    |

  12. The area of the region bounded by the curve y = sqrt(16-x^(2)) and X-a...

    Text Solution

    |

  13. Area of the region in the first quadrant exclosed by the X-axis, the l...

    Text Solution

    |

  14. Area of the regionbounded by the curve y =cos xbetween x = 0 and x=pi ...

    Text Solution

    |

  15. The area of the region bounded by parabola y^(2)=x and the straight li...

    Text Solution

    |

  16. The area of the region bounded by the curve y = sin x between the ordi...

    Text Solution

    |

  17. The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

    Text Solution

    |

  18. The area of the region by the circle x^(2)+y^(2)=1 is

    Text Solution

    |

  19. The area of the region bounded by the curve y = x + 1 and the lines x=...

    Text Solution

    |

  20. The area of the region bounded by the curve x=2y+3 and the lines y=1, ...

    Text Solution

    |