Home
Class 12
MATHS
Evaluate: lim(x->oo)((int0^xe^(x^2)dx)^...

Evaluate: `lim_(x->oo)((int_0^xe^(x^2)dx)^2)/(int_0^x e^(2x^2)dx)`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)2e^(x)dx

int_(1)^(2)xe^(x)dx

int_(0)^(1)xe^(-x^(2))dx

Evaluate lim_(xrarr0)(int_0^(x^2) costdt)/(xsinx)

int_(0)^(2)(x^(2)+x)dx

int_(0)^(2)(2+x^(2))dx

Find int_0^2(x^2+1)dx

Evaluate : lim_(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

Evaluate: int_0^(e-1)(e^((x^2+2x-1)/2))/(x+1)dx+int_1^e xlogx e^(x^(2-2)/2)dx

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If int0^ycost^2dt=int0^(x^2)(sint)/t dt ,t h ep rov et h a t(dy)/(dx)=...

    Text Solution

    |

  2. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

    Text Solution

    |

  3. Evaluate: lim(x->oo)((int0^xe^(x^2)dx)^2)/(int0^x e^(2x^2)dx)

    Text Solution

    |

  4. If f(x)=1+1/x int1^x f(t) dt, then the value of f(e^-1) is

    Text Solution

    |

  5. If int0^1e^ (-x^2) dx=a , then find the value of int0^1x^2e^ (-x^2) dx...

    Text Solution

    |

  6. Ifint0^(f(x))t^2dt=xcospix ,t h e nf^(prime)(9)i s -1/9 (b) -1/3 (c...

    Text Solution

    |

  7. IfIn=int0^pix^nsinx dx ,t h e n fin d t h e v a l u eof I5+20 I3dot

    Text Solution

    |

  8. The value of int0^1lim(n->oo)sum(k =0)^n(x^(k+2)2^k)/(k!)dx is: (a) e...

    Text Solution

    |

  9. If I(n)=int(0)^(pi/2) sin^(n)x dx, then show that I(n)=((n-1)/n)I(n-2)...

    Text Solution

    |

  10. If A=int0^1 x^(50)(2-2x)^(50)dx ,B=int0^1 x^(50)(1-x)^(50)dx , which ...

    Text Solution

    |

  11. If In=int0^1(dx)/((1+x^2)^n); n in N , then prove that 2nI(n+1)=2^(-n...

    Text Solution

    |

  12. Given that f satisfies |f(u)-f(v)|lt=|u-v| for u and v in [a , b]dot T...

    Text Solution

    |

  13. IfIn=int0^1x^n(tan^(-1)x)dx ,t h e np rov et h a t (n+1)In+(n-1)I(n-2...

    Text Solution

    |

  14. IfI=int(-20pi)^(20pi)|sinx|[sinx]dx(w h e r e[dot] denotes the greate...

    Text Solution

    |

  15. IfIm=int1^x(logx)^mdx satisfies the relation (Im)=k-l I(m-1) then A)k...

    Text Solution

    |

  16. The value of the integral int0^1sqrt((1-x)/(1+x))dx i s (a)pi/2+1 (b...

    Text Solution

    |

  17. IfI(m , n)=int0^(pi/2)sin^m xcos^n xdx , Then show that I(m , n)=(m-1...

    Text Solution

    |

  18. Evaluate: int0^pi(xsin2xsin(pi/2cosx))/(2x-pi)dx

    Text Solution

    |

  19. If IK=int1^e(lnx)^kdx(k in I^+)dx(k in I^+), then find the value of...

    Text Solution

    |

  20. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u)du ...

    Text Solution

    |