Home
Class 12
MATHS
If I(1) = inte^(e^(2)) (dx)/(log x) and ...

If `I_(1) = int_e^(e^(2)) (dx)/(log x)` and `I_(2) = int_1^(2) (e^(x)dx)/(x)` then

A

`2I_(1) = I_(2)`

B

`I_(1)=I_(2)`

C

`I_(1) + 2I_(2)`

D

`I_(1)+I_(2) =0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

int(2x^(2) + e^x)dx

int x/(e^(x^2)) dx

int (x+1)^(2)e^(x)dx =

int x^(2)(e^(x^3))dx =

int_(-1)^(1) (x+1)e^(x)dx

int_1^(2) (log x)dx =

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

int_(-4)^(1) e^(x) dx .

If I_(1) = int sin^(-1) x dx and I_(2) = int sin^(-1) sqrt(1-x^(2))dx then

If I_(1) = int_0^(1) 2^(x^(2)) dx, I_(2) = int_0^(1) 2^(x^(3)) dx, I_(3) = int_1^(2) 2^(x^(2)) dx, I_(4) = int_1^(2) 2^(x^(3)) dx then,

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. Evaluate the integrals by using substitution int(0)^(1)sin^(-1)((2x)...

    Text Solution

    |

  2. Evaulate int(0)^(pi//4)log(1+tanx)dx.

    Text Solution

    |

  3. If I(1) = inte^(e^(2)) (dx)/(log x) and I(2) = int1^(2) (e^(x)dx)/(x) ...

    Text Solution

    |

  4. If f(x) is integrable on [0,a], then int0^(a) (f(x))/(f(x)+ f(a-x)) dx...

    Text Solution

    |

  5. If In = int0^(pi//4) tan^n theta d theta, then for any +ve integer n, ...

    Text Solution

    |

  6. The value of int(-1/2)^(1/2) (cosx). log ((1-x)/(1+x)) dx is

    Text Solution

    |

  7. The value of int0^(pi) (dx)/(5+3cosx) is

    Text Solution

    |

  8. int0^(pi) (xdx)/(a^(2) cos^(2) x+ b^(2) sin^(2) x) =

    Text Solution

    |

  9. int0^(2pi) (sinx+|sinx|) dx =

    Text Solution

    |

  10. int0^(oo) (xdx)/((1+x)(1+x^(2))) =

    Text Solution

    |

  11. int0^(pi/8) cos^(3) 4 theta d theta =

    Text Solution

    |

  12. int(pi/4)^(pi/2) cosec^(2)x dx =

    Text Solution

    |

  13. If I(1)= int(0)^(pi//2) x sin x dx and I(2)=int(0)^(pi//2) x cos x dx,...

    Text Solution

    |

  14. If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))...

    Text Solution

    |

  15. If k int (0)^(1)x.f(3x)dx = int(0)^(3) t. f(t)dt, then the value of k ...

    Text Solution

    |

  16. The value of the integral int0^(pi//2) (sin^(100) x - cos^(100) x) dx ...

    Text Solution

    |

  17. int(1)^(3)(x-1)(x-2)(x-3)dx=

    Text Solution

    |

  18. If 2f(x)- 3f(1/x) = x then int1^(e) f(x) dx =

    Text Solution

    |

  19. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  20. The value of the integral, int3^6 (sqrt(x))/(sqrt(9 - x) + sqrt(x))dx ...

    Text Solution

    |