Home
Class 12
MATHS
The value of int0^1 (2^(2x+1)-5^(2x-1))...

The value of `int_0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx` is

A

`(3)/(5){(2)/(loge((2)/(5)))+(1)/(2loge((5)/(2)))}`

B

`-(3)/(5){(2)/(loge((2)/(5)))+(1)/(2loge((5)/(2)))}`

C

`(3)/(5){(2)/(loge^(((2)/(5))))-(1)/(2loge^(((5)/(2))))}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 1|57 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(1) tan^(-1)((2x-1)/(1+x-x^(2)))dx is

The value of int_0^(2) (3x ^ 2 −1)dx

The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is a. 1 b. -1 c. 0 d. pi//4

The value of int_(0)^(1) (1)/(2x-3)dx is

The value of int_0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx is

STATEMENT 1 : The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STATEMENT 2 : int_a^bf(x)dx=int_0^bf(a+b-x)dx then Which of the following statement is correct ?

The value of int_0^1(x^4(1-x)^4)/(1+x^2)\ dx is

int_0^1 x^2 e^(2x) dx

The value of int_(0)^(2)((x^(2)-2x+4)sin(x-1))/(2x^(2)-4x+5)dx is equal to

int_0^4 (2x-1) dx

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(0)^(100) sin(x-[x])pidx, is

    Text Solution

    |

  2. The difference between the greatest and least values of the function p...

    Text Solution

    |

  3. The value of int0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx is

    Text Solution

    |

  4. The value of int(0)^(pi//2) (cos3x+1)/(2 cos x-1) dx is

    Text Solution

    |

  5. The value of int(0)^(16pi//3) |sinx|dx is

    Text Solution

    |

  6. If int(0)^(npi) f(cos^(2)x)dx=k int(0)^(pi) f(cos^(2)x)dx, then the va...

    Text Solution

    |

  7. The value of int(-pi)^(pi) sinx f(cosx)dx is

    Text Solution

    |

  8. If a lt int(0)^(2pi) (1)/(10+3 cos x)dx lt b. Then the ordered pair (a...

    Text Solution

    |

  9. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

    Text Solution

    |

  10. The value of the integral int(-pi//2)^(pi//2) sqrt(cosx-cos^(2)x)dx is

    Text Solution

    |

  11. The value of the integral int(-pi/2)^(pi//2) sqrt((1+cos2x)/(2))dx is

    Text Solution

    |

  12. Let I(1)=int(1)^(2)(x)/(sqrt(1+x^(2)))dx and I(2)=int(1)^(2)(1)/(x)dx....

    Text Solution

    |

  13. Evaluate the following integral: int0^(pi//4)(s in x+cosx)/(3+s in2x)d...

    Text Solution

    |

  14. The value of the integral int(0)^(pi//4) (sin theta+cos theta)/(9+16 s...

    Text Solution

    |

  15. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin x^3dx=F(k)-F...

    Text Solution

    |

  16. If I=int(-1)^(1)([x^(2)]+log((2+x)/(2-x)))dx where [x] denotes the gre...

    Text Solution

    |

  17. The value of int(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal t...

    Text Solution

    |

  18. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

    Text Solution

    |

  19. The value of I=int(0)^(pi//2) (1)/(1+cosx)dx is

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |