Home
Class 12
MATHS
int secx. log (sec x+ tan x ) dx...

`int secx. log (sec x+ tan x ) dx `

Text Solution

Verified by Experts

The correct Answer is:
`((log|sec x + tan x|)^(2))/(2)+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARK QUESTIONS|20 Videos

  • INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARK QUESTIONS|82 Videos

  • DIFFERENTIAL EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 MARK QUESTIONS|31 Videos

Similar Questions

Explore conceptually related problems

int sec x log (sec x+tan x) dx.

(i) int x/(9-4x^2) dx. (ii) int (ax+b)^3 dx (iii) int (sec x)/( log (sec x+ tan x)) dx.

int sec x log(secx+tanx)dx=

int_(0)^(pi//2) sec x log (sec x+tan x) dx is equal to

Evaluate: (i) int sec x log(sec x+tan x)dx (ii) int cos ecx log(cos ecx-cot x)dx

int sec x ln(sec x+tan x)dx=

int(secx- tan x)/(sec x+ tan x) dx

(i) int e^(x). "[log (sec x+tan x) + sec x dx " (ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx

Evaluate: int(sec x)/(log(sec x+tan x))dx

CBSE COMPLEMENTARY MATERIAL-INTEGRALS-SIX MARK QUESTIONS
  1. int secx. log (sec x+ tan x ) dx

    Text Solution

    |

  2. int(x^5+4)/(x^5-x)dx

    Text Solution

    |

  3. int(2e^t)/(e^(3t)-6e^(2t)+11 e^t-6)dt

    Text Solution

    |

  4. int(2x^3)/((x+1)(x-3)^2)dx

    Text Solution

    |

  5. Evaluate the following integrals: int(1+sinx)/(sin x(1+cosx))dx

    Text Solution

    |

  6. int(0)^(pi//2)(sqrt(tanx)+sqrt(cotx))dx

    Text Solution

    |

  7. Evaluate: int0^1xsqrt((1-x^2)/(1+x^2))dx

    Text Solution

    |

  8. Evaluate the following integrals: int(0)^(pi//2) (cosx)/(1+cos x+sin...

    Text Solution

    |

  9. Evaluate the following integrals as limit of sums: int(2)^(4)(2x+1)d...

    Text Solution

    |

  10. Evaluate the following integrals as limit of sums: int(0)^(2)(x^(2)+...

    Text Solution

    |

  11. Evaluate the following integrals as limit of sums: int(1)^(3)(3x^(2)...

    Text Solution

    |

  12. Evaluate the following integrals as limit of sums: int(0)^(4)(3x^(2)...

    Text Solution

    |

  13. Evaluate the following integrals as limit of sums: int(0)^(1)e^(2-3x...

    Text Solution

    |

  14. Evaluate the following integrals as limit of sums: int(0)^(1)(3x^(2)...

    Text Solution

    |

  15. Evaluate: int1/((sinx-2cosx)(2sinx+cosx)dx

    Text Solution

    |

  16. int0^1log(1+x)/(1+x^2)dx

    Text Solution

    |

  17. int(0)^(pi//2) (2logsin x - log sin 2x) dx=

    Text Solution

    |

  18. Evaluate: int0^1x(tan^(-1)x)^2dx

    Text Solution

    |

  19. Prove that: int(0)^(pi//2) log (sin x) dx =int(0)^(pi//2) log (cos x)...

    Text Solution

    |

  20. Prove that int0^1tan^(-1)(1/(1-x+x^2))dx=2int0^1tan^(-1)x dxdot Henc...

    Text Solution

    |

  21. Evaluate : int0^(pi/2)(sin^2x)/(s in x+cos x)dx

    Text Solution

    |