Home
Class 12
PHYSICS
Find the value of x(1), so that int(0)^(...

Find the value of `x_(1)`, so that `int_(0)^(x_(1))ydx=5`

A

`5`

B

`3`

C

`2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B


`int_(0)^(x_(1))ydx=` shadded area
`(5xx1)+(1)/(2)xx(1+5)-(1)/(2)xx(x_(1)-2)xx5(x_(1)-2)`
`x_(1)=3`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

int_(-a)^(a)x^(2)ydx

If int_(0)^(10)f(x)dx=5, find the value of sum_(k=1)^(10)int_(0)^(1)f(k-1+x)dx

The value of the integral int_(0)^(1) x(1-x)^(n)dx , is

If f(x)=x+int_(0)^(1)t(x+t)f(t)dt, then find the value of the definite integral int_(0)^(1)f(x)dx

Find the value of a,so that f(x)={a sin{(pi)/(2)(x+1)},quad if x 0 is continuous at x=0

Find the value of int_(0)^(1){(sin^(-1)x)/x}dx

Find the value of int_(0)^(1)x^(2)dx

Find the value of the following: int_0^1 dx/(1+x^2)

Find the value of int_(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx

ALLEN-TEST PAPER-Exercise (Physics)
  1. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  2. For conservative force field, vec(F)=-(delU)/(delx)hat(i)-(delU)/(dy)...

    Text Solution

    |

  3. Find the value of x(1), so that int(0)^(x(1))ydx=5

    Text Solution

    |

  4. A rocket rises vertically up from the surface of earth so that it is d...

    Text Solution

    |

  5. Find the rate of change of radius of a sphere when its radius is 4 cm ...

    Text Solution

    |

  6. Consider following statement :- (A) any physical quantity may have m...

    Text Solution

    |

  7. A particle is moving on X-axis. Its velocity time graph is given in th...

    Text Solution

    |

  8. In the given arrangement shown in figure, surface is frictionless, str...

    Text Solution

    |

  9. The position of a particle moving in space varies with time t accordin...

    Text Solution

    |

  10. V(x) is the velocity of a particle of a particle moving along the x-ax...

    Text Solution

    |

  11. At t=0 two trucks A and B were at same point on the road . At t=t(1), ...

    Text Solution

    |

  12. A ball is thrown from the top of 36m high tower with velocity 5m//ss a...

    Text Solution

    |

  13. A toy car can deliver a constant power of 20W. The resistive force on ...

    Text Solution

    |

  14. If momentum (P), area (A) and time (7) are taken to be fundamental qun...

    Text Solution

    |

  15. In ancient time, deffernt system of units was following in which unit ...

    Text Solution

    |

  16. A rectangular farm house has a 1km difference between its sides. Two f...

    Text Solution

    |

  17. The graph shown the variation with times t of the velocity v of an obj...

    Text Solution

    |

  18. A ball is released from point A. During its motiom ball takes two seco...

    Text Solution

    |

  19. Velocity v//s Position graph of a particle performing curvilinear moti...

    Text Solution

    |

  20. Two identical blocks A and B each of weight 20N are placed on a fricti...

    Text Solution

    |