Home
Class 12
MATHS
If b=int(0)^(1) (e^(t))/(t+1)dt, then in...

If `b=int_(0)^(1) (e^(t))/(t+1)dt`, then `int_(a-1)^(a) (e^(-t))/(t-a-1)` is

A

`be^(a)`

B

`be^(-a)`

C

`-be^(-a)`

D

`-be^(a)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

If int_(0)^(1)(e^(t))/(1+t)dt=a then find the value of int_(0)^(1)(e^(t))/((1+t)^(2))dt in terms of a .

Ifint_0^1(e^t dt)/(t+1)=a ,then find the value of int_(b-1)^b(e^(-t)dt)/(t-b-1)

If lambda=int_0^1(e^t)/(1+t) , then int_0^1e^tlog_e(1+t)dt is equal to

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

If f(x)=x+int_(0)^(1)t(x+t)f(t)dt , then the value of (23)/(3)f(0) is equal to-

If f(t) is an odd function, then int_(0)^(x)f(t) dt is -

Let f(x)=int_(1)^(x)(3^(t))/(1+t^(2))dt , where xgt0 , Then

If f(x)=int_(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

Computing area with parametrically represented boundaries : If the boundary of a figure is represented by parametric equation, i.e., x=x(t), y=(t), then the area of the figure is evaluated by one of the three formulas : S=-int_(alpha)^(beta) y(t)x'(t)dt, S=int_(alpha)^(beta) x(t)y'(t)dt, S=(1)/(2)int_(alpha)^(beta)(xy'-yx')dt, Where alpha and beta are the values of the parameter t corresponding respectively to the beginning and the end of the traversal of the curve corresponding to increasing t. If the curve given by parametric equation x=t-t^(3), y=1-t^(4) forms a loop for all values of t in [-1,1] then the area of the loop is

If int_(0)^(x)f(t)dt=x^2+int_(x)^(1)t^2f(t)dt , then f((1)/(2)) is equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. Let f:D to R where D=[0,1] cup [2, 4] be defined by f(x)={(x",","if ...

    Text Solution

    |

  2. Let f(x) be a continuous periodic function with period T. Let I= int(a...

    Text Solution

    |

  3. If b=int(0)^(1) (e^(t))/(t+1)dt, then int(a-1)^(a) (e^(-t))/(t-a-1) is

    Text Solution

    |

  4. The differential of f(x)=log(e ) (1+e^(10x))-tan^(-1) (e^(5x)) at x = ...

    Text Solution

    |

  5. Given that f: S to R is said to have a fixed point at c of S if f(c )...

    Text Solution

    |

  6. The lim(x to oo) ((3x-1)/(3x+1))^(4x) equals

    Text Solution

    |

  7. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

    Text Solution

    |

  8. If a(vecalpha xx vecbeta) + b(vecbeta xx vecgamma) +c(vecgamma xx veca...

    Text Solution

    |

  9. If the tangent at the point P with co-ordinates (h, k) on the curve y^...

    Text Solution

    |

  10. The co-efficient of a^(3)b^(4)c^(5) in the expansion of (bc+ca+ab)^(6)...

    Text Solution

    |

  11. Three unequal positive numbers a, b, c are such that a, b, c are in G....

    Text Solution

    |

  12. The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...

    Text Solution

    |

  13. Let R be the real line. Let the relations S and T on R be defined by ...

    Text Solution

    |

  14. The plane lx + my = 0 is rotated about its line of intersection with t...

    Text Solution

    |

  15. The points of intersection of two ellipses x^(2)+2y^(2) -6x-12y+20=0 a...

    Text Solution

    |

  16. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

    Text Solution

    |

  17. If |z+i|-|z-1|=|z|-2=0 for a complex number z, then z =

    Text Solution

    |

  18. |(x, 3x+2,2x-1),(2x-1,4x,3x+1),(7x-2,17x+6,12x-1)|=0 is true for

    Text Solution

    |

  19. The remainder when 7^(7^(7^(...^(7))))(22 times 7) is divided by 48 is

    Text Solution

    |

  20. int dx/((2+x)sqrt(1+x) =

    Text Solution

    |