Home
Class 12
MATHS
If int e^x (tanx - log cos x) dx = f(x) ...

If `int e^x (tanx - log cos x) dx = f(x) log sec x` then range of f(x) is

A

`(- infty, infty)`

B

`(0, infty)`

C

`(0 , - infty)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

int (tan x)/(log (cos x))dx

Integrate: int e^(x)( tan x- log cos x)dx

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

If f(x)=log(cosx), then the value of f''(x) is-

int (e^(x))/(x)(x log x+1)dx

If f(x) =ln ((x^2 + e)/(x^2 + 1)) , then range of f(x) is

int (dx)/(x log (x))

Evaluate: int e^x/x(x log x+1)dx

Let f(x)=|log|x||, then-

If int x log(1 + x^2) dx = phi(x) log(1 + x^2) + psi(x) + c then

PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. int dx/((1+sqrtx)sqrt(x-x^2) is equal to ?

    Text Solution

    |

  2. If int (cos 4x + 1)/(cot x - tan x) dx = A cos 4x + B, then

    Text Solution

    |

  3. If int e^x (tanx - log cos x) dx = f(x) log sec x then range of f(x) i...

    Text Solution

    |

  4. If int (bx cos4x - asin 4x )/x^2 dx = (asin4x)/x + c then a, b may be

    Text Solution

    |

  5. if int (e^(6logx) - e^(4logx))/(e^(3logx)-e^(2logx)) dx = phi(x), then...

    Text Solution

    |

  6. If int dx/(x^6 + x^4) = tan^-1x + 1/x + k/x^3 + c, then value of k is

    Text Solution

    |

  7. int (f(x)phi'(x)-phi(x)f'(x))/(f(x)phi(x)) {logphi(x) - logf(x)} dx is

    Text Solution

    |

  8. int dx/(x^n(1+x^n)^(1/n)) is

    Text Solution

    |

  9. If int dx/((x+1)^3 + (x+1)^2) is k[t - t^2/2 + t^3/3 - Inabst ] +c wh...

    Text Solution

    |

  10. int (cos^3 x + cos^5 x)/(sin^2 x + sin^4 x) dx equals

    Text Solution

    |

  11. int (sec x dx)/([sin(2x+alpha) + sin alpha]^(1/2)) is

    Text Solution

    |

  12. If int (cos^4 x dx)/(sin^3 x (sin^5 x + cos^5 x)^(3/5)) is equal to -1...

    Text Solution

    |

  13. Let f(x) = x + sin x . Suppose 'g' denotes the inverse function of 'f...

    Text Solution

    |

  14. I = int 1/(cos^4 x) dx is equal to

    Text Solution

    |

  15. int (x + 5)/((x-1)^2 (x-2)) dx =

    Text Solution

    |

  16. int (3 + 2 cos x)/(2 + 3 cos x)^2 dx is equal to

    Text Solution

    |

  17. int (x^2 - 1)/((x^2 +1) sqrt(x^4 + 1)) dx is equal to ?

    Text Solution

    |

  18. I = int (x + x^(2/3) + x^(1/6))/(x (1+x^(1/3))) dx is equal

    Text Solution

    |

  19. int (x^2 - 1)/((x^3)sqrt(2x^4- 2x^2 + 1)) dx is equal to

    Text Solution

    |

  20. The value of the integral int e^(sin^2 x) (cos x + cos^3 x) sin x dx i...

    Text Solution

    |