Home
Class 12
MATHS
underset(kto0) lim1/kint0^k(1+sin2x)^(1/...

`underset(kto0) lim``1/kint_0^k(1+sin2x)^(1/x)dx`

A

`2`

B

`1`

C

`e^(2)`

D

Does not exists

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Competition level Questions|80 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int_0^(1)(sin^(- 1)x)/x dx=

Evaluate : underset( x to 0 ) lim (x) ^((1)/(log x))

underset( x to 0 ) lim (sin ^(2) 2x)/( sin ^(2) 4x) is equal to

If underset(xto0)lim(f(x))/(sin^(2)x)=8,underset(xto0)lim(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " underset(xto0)lim(1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

underset (xto0)lim(10^(x)-2^(x)-5^(x)+1)/(l n (secx)) is equal to

The value of lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt equals :

lim_(x rarr0)(sin^2x)/(1-cosx)

The value of the definite integral overset(3pi//4)underset(0)int(1+x)sin x+(1-x) cos x)dx is

The value of underset(0)overset(pi//2)int (sin^(3)x)/(sin x + cos x)dx is (pi-1)/(k) . The value of k is ________.

Area bounded by the curves y = 1 - 2^(1 + sin x), x in [0, (pi)/(2)] where underset(0)overset(pi//2)(int) 2^(sin x) dx = k

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
  1. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

    Text Solution

    |

  2. The value of ("lim")(n rarr oo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r...

    Text Solution

    |

  3. underset(kto0) lim1/kint0^k(1+sin2x)^(1/x)dx

    Text Solution

    |

  4. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

    Text Solution

    |

  5. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

    Text Solution

    |

  6. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

    Text Solution

    |

  7. If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...

    Text Solution

    |

  8. The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...

    Text Solution

    |

  9. Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e t h e nt h ev...

    Text Solution

    |

  10. Let g(x) be a continous and differentiable function such that int(0...

    Text Solution

    |

  11. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

    Text Solution

    |

  12. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

    Text Solution

    |

  13. int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=

    Text Solution

    |

  14. The value of int(-10)^(10)[{f(f(x)}+{f(f((1)/(x))}]dx, where f(x)=(1-x...

    Text Solution

    |

  15. The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...

    Text Solution

    |

  16. If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...

    Text Solution

    |

  17. The value of int(2010pi+(pi)/(6))^(2010pi+(pi)/(3))(sinx+cosx)dx is

    Text Solution

    |

  18. Let int(a)^(b)f(x)dx=int(a+c)^(b+c)f(x-c)dx. Then the value of int(0)^...

    Text Solution

    |

  19. If x^(f(x))=e^(x-f(x)), then the value of integral int(1)^(2)f'(x){(1+...

    Text Solution

    |

  20. If overset(x)underset(e )int t f(t)dt=sin x-x cos x-(x^(2))/(2) for al...

    Text Solution

    |