Home
Class 12
MATHS
If \int{0}^k 4x^3 dx =16, then value of ...

If `\int_{0}^k` 4`x^3` dx =16, then value of k is .......... A) 1 B) 2 C) 3 D) 4

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

Similar Questions

Explore conceptually related problems

If cot ""(2x)/(3) + tan (x/3) = cosec (kx)/(3), then the value of k is ......... A) 1 B) 2 C) 3 D) -1

if int_0^k (dx)/(2+8x^2)=pi/16 then find the value of k

The value of \int_{0}^(pi/2) frac{1}{1+tan^3 x} dx is........... A) 0 B) 1 C) pi/4 D) pi/2

The value of \int_{0}^1 x (1-x)^99 dx is........... A) 1/10100 B) 11/10100 C) 111/10100 D) 1111/10100

If \int_{0}^1 frac{dx}{sqrt (1+x) -sqrt x} = k/3, then k=...........

The value of I = \int_{0}^(pi/2) frac{1}{1+cot x} dx is........... A) pi B) ( pi )/2 C) ( pi )/4 D) ( pi )/3

If kint_(0)^(1)xf(3x)dx=int_(0)^(3)tf(t)dt , then the value of k is

If int_(0)^(k)(dx)/(2+18x^(2))=(pi)/(24) , then the value of k is

Given sin B =1/5*sin (2A +B) then tan (A +B)= k tan A, where k has the value equal to ............... A) 5/3 B) 2/3 C) 3/2 D) 3/5

If int tan^3 x sec^3 x dx=(1/m) sec^m x - (1/n) sec^n x dx , then (m,n)= ......... A) (5,3) B) (3,5) C) (1/5, 1/3) D) (4,4)

CHETANA PUBLICATION-Definite integration-Exercise
  1. The value of integral \int{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx...

    Text Solution

    |

  2. \int{0}^1 tan^(-1) frac{x}{sqrt (1-x^2)} dx is.......... A) (pi)/2 +1...

    Text Solution

    |

  3. \int{0}^((pi)/4) frac{sin 2t}{sin^4 t + cos^4 t} dt is..........

    Text Solution

    |

  4. \int{2}^3 frac{1}{x ( x^2 -1)} dx is.......... A) (1/2) log (32/27) ...

    Text Solution

    |

  5. \int{0}^1 x^2 sqrt(1-x) dx is..........

    Text Solution

    |

  6. \int{0}^pi frac{t tan t}{sec t + cos t} dt =..........

    Text Solution

    |

  7. \int{0}^((pi)/2) frac{sin x}{(sin x + cos x)^2} dx =k log(1+sqrt 2), ...

    Text Solution

    |

  8. \int{0}^(pi/2) sin(x-(pi)/4) dx =......... A) 2+sqrt 2 B) 2-sqrt 2 ...

    Text Solution

    |

  9. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  10. If \int{0}^1 frac{dx}{sqrt (1+x) -sqrt x} = k/3, then k=...........

    Text Solution

    |

  11. The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...

    Text Solution

    |

  12. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  13. Evaluate the following: If \int{0}^k frac{1}{2+8x^2} dx = (pi)/16, fin...

    Text Solution

    |

  14. Evaluate : \int{1}^2 frac{1}{x^2} e^(1/x) dx

    Text Solution

    |

  15. Evaluate: \int{0}^((pi)/4) frac{tan^3 x}{1+ cos 2x} dx

    Text Solution

    |

  16. Evaluate: \int{0}^1frac{x^2 - 2}{x^2+1} dx

    Text Solution

    |

  17. Evaluate: \int{0}^((pi)/2) x sinx dx

    Text Solution

    |

  18. Prove that \int{0}^(2a) f(x) dx = \int{0}^a [f(x) + f(2a-x)] dx

    Text Solution

    |

  19. Evaluate: \int{0}^1 frac{log x}{sqrt (1-x^2)} dx

    Text Solution

    |

  20. Evaluate: \int{0}^2 e^x dx using limit of a sum

    Text Solution

    |