Home
Class 12
MATHS
It int e^(sec x) (sec x tan x f (x) + (s...

It `int e^(sec x) (sec x tan x f (x) + (sec x tan x + sec^(2) x)) dx = e^(sec x) f(x) + C`, then a possible choice of f(x) is :

A

` sec x + x tan x - (1)/(2) `

B

` x sec x + tan x + (1)/(2)`

C

` sec x - tan x - (1)/(2)`

D

` sec x + tan x + (1)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 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

If int e^(sec x)(sec x tan x f(x)+(sec x tan x + sec^(2) x))dx = e^(sec x)f(x) + C , then a possible choice of f(x) is

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

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

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

int sec x tan x sqrt(sec^(2) x+1)dx

int x sec x*tan xdx

int " x sec"^(2) " x dx "

int " x sec"^(2) " x dx "

int e^x sec e^x dx

int sec x tan x sqrt(tan^(2) x-4) dx

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-JEE MAIN (ARCHIVE)
  1. The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...

    Text Solution

    |

  2. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

    Text Solution

    |

  3. The value of the integral int(0) ^(pi//2) sin ^3 x dx is :

    Text Solution

    |

  4. The value of int(pi//4)^(3pi//4)(x)/(1+sin x)dx ….

    Text Solution

    |

  5. if x^(2) !=npi+1, ninN then int x sqrt((2sin(x^(2)-1)-sin2(x^(2)-1))/(...

    Text Solution

    |

  6. If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7))dx,(xge0)andf(0)=0, then the valu...

    Text Solution

    |

  7. Let nge2 be a natural number and 0ltthetaltpi//2. Then int((sin^ntheta...

    Text Solution

    |

  8. If intx^5e^(-4x^3)dx=(1)/(48)e^(-4x^3)(f(x))+c, where c is contant of ...

    Text Solution

    |

  9. If int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x^2))^m+C,for a suitable chose...

    Text Solution

    |

  10. If int (x+1)/(sqrt(2x-1))dx=f(x) sqrt(2x-1)+C, where C is a constant o...

    Text Solution

    |

  11. The integral intcos(logex)dx is equal to (where C is a contant of int...

    Text Solution

    |

  12. The integral int(3x^13+2x^11)/((2x^4+3x^2+1)^4)dx is equal to (where C...

    Text Solution

    |

  13. int("sin"(5x)/(3))/("sin"(x)/(2))dx is equal to (where, C is a constan...

    Text Solution

    |

  14. "If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is ...

    Text Solution

    |

  15. The integral int sec^(2//3)x cosec^(4//3)x dx is equal to : (Here ...

    Text Solution

    |

  16. It int e^(sec x) (sec x tan x f (x) + (sec x tan x + sec^(2) x)) dx = ...

    Text Solution

    |

  17. If lim(dx)/(x^(2)-2x +10)^(2) =A(tan^(-1)(x-1)/3)+(f(x))/(x^(2)-2x+10)...

    Text Solution

    |

  18. If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C, where C is a constant of ...

    Text Solution

    |

  19. The integral int(2x^(3)-1)/(x^(4)+x)dx is equal to : (Here C is a c...

    Text Solution

    |

  20. Let alpha in (0, pi/2) be fixed. If the integral int(tan x + tan alpha...

    Text Solution

    |