Home
Class 12
MATHS
If f(x)={{:(x,xlt1),(x-1,xge1):}, then u...

If `f(x)={{:(x,xlt1),(x-1,xge1):}`, then `underset(0)overset(2)intx^(2)f(x)` dx is equal to :

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 1|64 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 1 Part-II|75 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

Similar Questions

Explore conceptually related problems

The integral underset(1)overset(5)int x^(2)dx is equal to

If f(x)={{:(x+4,xge1) ,(5x,xlt1):} then f'(x)=?

If f(x)=f(a+b-x) , then overset(b)underset(a)int xf(x)dx is equal to

If f(x) =|{:(cosx,1,0),(1,2 cosx,1),(0,1,2 cosx):}|, "then" |overset(pi//2)underset(0)intf(x)dx| is equal to

If f(x)={{:(x+3 : x lt 3),(3x^(2)+1:xge3):} , then find int_(2)^(5) f(x) dx .

If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

if f(x) ={{:( x-1, xlt 0),( x^(2) - 2x , x ge 0):} , then

If a f(x) +b f((1)/(x))=(1)/(x)-5,x ne 0,a ne b , then overset(2)underset(1)int f(x)dx equals

If f(x)={{:(a+bx,xlt1),(4,x=1),(b-ax,xgt1):} and underset(xrarr1)f(x)=f(1) , then find the values of 'a' and 'b '

Let f(x){:{(1+sinx", "xlt0),(x^(2)-x+1ge0):} Then

RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. If int(1)^(x) (dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6), then x can be equal ...

    Text Solution

    |

  2. The value of the integral int(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltal...

    Text Solution

    |

  3. If f(x)={{:(x,xlt1),(x-1,xge1):}, then underset(0)overset(2)intx^(2)f(...

    Text Solution

    |

  4. If f(0) = 1 , f(2) = 3, f'(2) = 5 and f'(0) is finite, then int(0)^(1...

    Text Solution

    |

  5. int(0)^(pi)|1+2cosx| dx is equal to :

    Text Solution

    |

  6. The value of int(1)^(3) (|x-2|+[x])dx is ([x] stands for greatest inte...

    Text Solution

    |

  7. The value of int(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greate...

    Text Solution

    |

  8. int(lnpi-ln2)^(lnpi) (e^(x))/(1-cos(2/3e^(x))) dx is equal to

    Text Solution

    |

  9. If I(1)=int(e)^(e^(2))(dx)/(lnx) and I(2) = int(1)^(2)(e^(x))/(x) dx(1...

    Text Solution

    |

  10. int(0)^(pi/4)(x.sinx)/(cos^(3)x) dx equal to :

    Text Solution

    |

  11. The value if definite integral int(3/2)^(9/4)[sqrt(2x-sqrt(5(4x-5)))+s...

    Text Solution

    |

  12. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equal to" (a)4 ...

    Text Solution

    |

  13. int(0)^(oo)(x^(2)+1)/(x^(4)+7x^(2)+1)dx=

    Text Solution

    |

  14. Suppose for every integer n, .int(n)^(n+1) f(x)dx = n^(2). The value o...

    Text Solution

    |

  15. If f(x) and g(x) are continuous functions, then int(In lamda)^(In (1//...

    Text Solution

    |

  16. int- 1^1cot^(- 1)((x+x^3)/(1+x^4))dx

    Text Solution

    |

  17. int(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)} dx is equal to

    Text Solution

    |

  18. int(-1)^(1)xln(1+e^(x))dx=.

    Text Solution

    |

  19. If int(-1)^(3//2)|xsinpix|dx = (k)/(pi^(2)), then the value of k is :

    Text Solution

    |

  20. The value of definite integral int0^(pi^2/4) dx/(1+sin sqrtx+ cos sqrt...

    Text Solution

    |