Home
Class 12
MATHS
Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-...

Evaluate `int_0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx`

Text Solution

Verified by Experts

The correct Answer is:
`|int _(0) ^(b) f (x) dxxi | int_(a) ^(b) |f(x)|dx`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-I)|97 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos
  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_0^1 e^(2x) dx

Evaluate int(-4x)/((1-2x^(2))^(2))dx

Evaluate int_1^4 e^(2x) dx

Evaluate: int e^(x)((x-1)/(2x^(2)))dx

Evaluate: int(1)/(x^(2)+4x-5)dx

Evaluate: int_(0)^(2)(dx)/((17+8x-4x^(2))[e^(6(1-x))+1))

Evaluate: int(e^(x))/(1+e^(2x))dx

Evaluate: int_(-1)^(0)(dx)/(x^(2)+2x+2)

Evaluate: inte^(2x)/(1+e^(4x))dx

Evaluate int (x+1)(2x-1)^(5/2)dx

MOTION-DEFINITE INTEGRATION -EXERCISE -4 LEVEL-II
  1. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

    Text Solution

    |

  2. Let y =f (x) be a twice differentiable, non- negative function defined...

    Text Solution

    |

  3. Let y =f (x) be a twice differentiable, non- negative function defined...

    Text Solution

    |

  4. Let y =f (x) be a twice differentiable, non- negative function defined...

    Text Solution

    |

  5. The vlaue of ((5050)underset(0)overset(1)int(1-x^(50))^(100)dx)/(under...

    Text Solution

    |

  6. lim(x->pi/4)(int2^(sec^2x)f(t) dt)/(x^2-(pi^2)/16) equal :

    Text Solution

    |

  7. Match the integrals in Column I with the values in {:("Column II. ,...

    Text Solution

    |

  8. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

    Text Solution

    |

  9. Let f be a non-negative function defined on the interval .[0,1].If int...

    Text Solution

    |

  10. Let f:R to R be a function which satisfies f(x)=overset(x)underset(0...

    Text Solution

    |

  11. The value of underset(xrarr0)(lim)(1)/(x^(3)) int(0)^(x)(tln(1+t))/(t^...

    Text Solution

    |

  12. The value of overset(1)underset(0)int (x^(4)(1-x)^(4))/(1+x^(2))dx is

    Text Solution

    |

  13. Let f be a real-valued function defined on the inverval (-1,1) such th...

    Text Solution

    |

  14. For any real number x ,l e t[x] denote the largest integer less than o...

    Text Solution

    |

  15. T h ev a l u eofint(sqrt(1n2))^(sqrt(1n3))(xsinx^2)/(sinx^2+sin(1n6-x^...

    Text Solution

    |

  16. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  17. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

    Text Solution

    |

  18. Let f:[1/2,1]vecR (the set of all real numbers) be a positive, non-con...

    Text Solution

    |

  19. Find a for which lim(n->oo) (1^a+2^a+3^a+...+n^a)/((n+1)^(a-1)[(na+1)+...

    Text Solution

    |

  20. Let f:(0,oo)vecR be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , then ...

    Text Solution

    |

  21. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

    Text Solution

    |