Home
Class 12
MATHS
Evaluate: inte^x\ [(secx+log(secx+tanx)]...

Evaluate: `inte^x\ [(secx+log(secx+tanx)]\ dx`

A

`-e^(x) log ( sec x + tanx) + C`

B

`e^(x) log (sec x - tan x)+ C`

C

`e^(x) sec x+ C`

D

`-e^(x) log ( sec x - tan x) + C`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(secx)/(log(secx+tanx)dx

Evaluate: (i) int(secx)/(log(secx+tanx)\ dx (ii) int(cos e c\ x)/(logtanx/2)\ dx

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

Evaluate: (i) intsecxlog(secx+tanx)\ dx (ii) intcos e c\ xlog(cos e c\ x-cotx)\ dx

Evaluate: (i) intsecxlog(secx+tanx)\ dx (ii) intcos e c\ xlog(cos e c\ x-cotx)\ dx

Evaluate: intsecx\ (secx+tanx)dx

Evaluate: int(secx)/(sec2x)dx

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

Evaluate: int(secx)/(secx+tanx)dxdot

Evaluate: int(secx)/(secx+tanx)dxdot

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 1
  1. If int (dx)/(5+4 cos x) = k tan^(-1) (m tan ((x)/(2))) + C then :

    Text Solution

    |

  2. int (1)/((x+5)sqrt(x+4))dx is :

    Text Solution

    |

  3. Evaluate: inte^x\ [(secx+log(secx+tanx)]\ dx

    Text Solution

    |

  4. If int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=aln((x-1)/(x+1))+btan^(-1).(x)...

    Text Solution

    |

  5. int \ 1/x{loge^(e x)*loge^(e^2x) * loge^(e^3x)}dx

    Text Solution

    |

  6. Evaluate: inte^x\ (tanx-logcosx)\ dx

    Text Solution

    |

  7. If int(1)/((sinx+4)(sinx-1))dx =A(1)/("tan"(x)/(2)-1)+B"tan"^(-1){f(...

    Text Solution

    |

  8. The value of int [f(x)g''(x) - f''(x)g(x)] dx is equal to

    Text Solution

    |

  9. If int[sin^2x]/[1+sin^2x] dx =x-ktan^-1(M tanx) then: a. M=1/sqrt2 b....

    Text Solution

    |

  10. If f(x) = (1)/(cos^2xsqrt(1-tan x)) then its anti-derivative F(x) sati...

    Text Solution

    |

  11. If f(x) =(1)/(cos^(2)xsqrt(1+tanx)), then its anit-derivate F(x) s...

    Text Solution

    |

  12. Let f(x)=1/(4-3cos^2x+5sin^2x) and if its antiderivative F(x)=(1/3) ta...

    Text Solution

    |

  13. The value of int frac{dx}{x^2+5x+6} is:

    Text Solution

    |

  14. If polynomials P and Q satisfyint[(3x-1)cosx+(1-2x)sinx ]dx=P cosx+Qsi...

    Text Solution

    |

  15. Evaluate: int(sin^2x)/(cos^6x)\ dx

    Text Solution

    |

  16. If int frac{3cosx+2sinx}{4sinx+5cosx}dx=Ax+Blog|4sinx+5cosx|+C,then:

    Text Solution

    |

  17. If int frac{xdx}{x^2-4x+8}=K log (x^2-4x+8)+tan^(-1)(frac{x-2}{2})+C, ...

    Text Solution

    |

  18. int(e^(x))/(x+2)[1+(x+2)log(x+2)]dx=

    Text Solution

    |

  19. The value of int sin^3xdx is:

    Text Solution

    |

  20. int sqrt(1+secx) dx is equal to:

    Text Solution

    |