Home
Class 12
PHYSICS
Area bounded by curve y=sinx, whit x-axi...

Area bounded by curve `y=sinx`, whit x-axis, when x varies from 0 to `(pi)/(2)` is :-

A

1 unit

B

2 units

C

3 units

D

0

Text Solution

Verified by Experts

The correct Answer is:
A


area under of curve `int_(0)^(pi//2) ydx`
`=int _(0)^(pi//2) sin xdx`
`= - cos x |_(0)^(pi//2)`
`=-[ cos ""(pi)/(2) -cos 0^(@)]=1`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Area of the region bounded by the curve y= sin x and x -axis - pi/2 le x le (pi)/(2) ………

The area of the region bounded by the curve y= cos x,y = sin x,Y -axis and 0 le x le (pi)/(4) is ……. Sq. units.

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

find the area bounded by the curve y=2 cos x and the X - axis from x=0 to x = 2 pi

Area bounded by the curve v=x, the x-axis and the ordinates x = -2 and x = 1 is

The area bounded by the Y-axis , y= cos x and y= sin x when 0 le x le (pi)/(2) is

The function f(x) is a non - negative continous function .The area of the region bounded by the curve y=f(x) , X - axis , x=(pi)/(4), x= beta gt (pi)/(4) is beta sinbeta + (pi)/(4) cos beta + sqrt(2) beta then f ((pi)/(2)) ……

The area bounded by curve y=sin2x(x=0 " to "x=pi)and X-axis .......

The area of the region bounded by the curve y=2 sin x ,X - axis and 0 le x le pi is ……Sq. units.

Area bounded by curve y= tan pi x , x in [-1/4 ,1/4] and X-axis is …..

ALLEN -TEST PAPER 4-PHYSICS
  1. Differentiation of cos (sqrt(x)) with respect to x is

    Text Solution

    |

  2. Given a function y=x^(2)-2sqrt(x). What is rate of change in y with re...

    Text Solution

    |

  3. If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

    Text Solution

    |

  4. If y=log(e)x+sinx+e^(x)" then "(dy)/(dx) is

    Text Solution

    |

  5. If y=x^(3)cosx" then "(dy)/(dx)=……………………

    Text Solution

    |

  6. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |

  7. Value of int(0)^(2)3x^(2)dx+int(0)^(pi//2)sinxdxis

    Text Solution

    |

  8. The value of integral underset(2)overset(4)int(dx)/(x) is :-

    Text Solution

    |

  9. Area bounded by curve y=sinx, whit x-axis, when x varies from 0 to (pi...

    Text Solution

    |

  10. If velocity of a particle is given by v=(2t+3)m//s. Then average veloc...

    Text Solution

    |

  11. Angle of elevation of top of building is 30^(@) from place A and beco...

    Text Solution

    |

  12. If Electric-current 'i' time (t) graph shown in figure. The average cu...

    Text Solution

    |

  13. A man travels one-third part of his total distance with speed v(1) and...

    Text Solution

    |

  14. The relation t=sqrt(x)+3 describes the position of a particle where x ...

    Text Solution

    |

  15. The position x of a particle with respect to time t along x-axis is gi...

    Text Solution

    |

  16. For an object starting from rest with uniform acceleration which of th...

    Text Solution

    |

  17. The slope of the tangent to the curve y=ln(cosx)" at "x=(3pi)/(4)" i...

    Text Solution

    |

  18. A particle moves along the x-axis such that its co-ordinate (x) varies...

    Text Solution

    |

  19. If y=sinx+cosx" then "(d^(2)y)/(dx^(2)) is :-

    Text Solution

    |

  20. If velocity v varies with time t as v=2t^(2), then the plot between v ...

    Text Solution

    |