Home
Class 12
MATHS
If primitive of sqrt((1+secx)) is 2fog(x...

If primitive of `sqrt((1+secx))` is `2fog(x)=c`, then

A

`g(x)=secx-1`

B

`g(x)=sqrt((secx-1))`

C

`f(x)=2tan^(-1)x`

D

`f(x)=tan^(-1)x`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Linked Comprehension Type Questions|7 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Assertion-Reason Type Questions|12 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (Only one answer)|64 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

sqrt(secx)

The primitive ^(*)sqrt(1+cos x)dx is

The primitive of 1/(4sqrt(x)+x) w.r.t.x is

If the primitive of (1)/((e^(x)-1)^(2)) is f(x)-log g(x)+c then

If the primitive of (1)/(f(x)) is equal to log{f(x)}^(2)+C , then f(x) is

inttanx sqrt(secx)dx=

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

AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (More than one answer)
  1. The relation int(sin2x+cos2x)=(1)/(sqrt(2))sin(2x-a)+c is true for

    Text Solution

    |

  2. The value of lambda for which int(4x^(3)+lambda4^(x))/(4^(x)+x^(4))dx=...

    Text Solution

    |

  3. If primitive of sqrt((1+secx)) is 2fog(x)=c, then

    Text Solution

    |

  4. Let f(0)=f(0)=0 and f^(primeprime)(x)=sec^4x+4 then

    Text Solution

    |

  5. If intsec2x dx=f{g(x)}+c then

    Text Solution

    |

  6. If inttan^(4)xdx=Atan^(3)x+Btanx+phi(x), then

    Text Solution

    |

  7. If primitive of sin (log x) is f(x)*{sin g(x)- cos h(x)}+c, (c being c...

    Text Solution

    |

  8. If int cos^(-1)x+cos^(-1)sqrt(1-x^2) dx= Ax+f(x)sin^(-1)x-2sqrt(1-x^2)...

    Text Solution

    |

  9. If int (3x+4)/(x^3-2x-4) \ dx = log|x-2| + k logf(x) + c, then (i) f...

    Text Solution

    |

  10. A primitive of sin 6x is

    Text Solution

    |

  11. If int(sinx)/(sin(x-a))dx=f(x)sina+g(x)cosa+c, then

    Text Solution

    |

  12. If f(x)=int1^x(lnt)/(1+t)dt where x>0, then the values of of x satisfy...

    Text Solution

    |

  13. The value of int0^oo(x dx)/((1+x)(1+x^2)) is equal to

    Text Solution

    |

  14. Let f(x)=int(0)^(x)(sint)/(t)dt(x gt 0) then f(x) has (n in N)

    Text Solution

    |

  15. inta^b sgn(x)dx equals (a,b in R)

    Text Solution

    |

  16. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  17. int0^1 sin(x^2+2x+1)dx-int1^2 sinx^2 dx is equal to (i)0 (ii)1 (ii...

    Text Solution

    |

  18. Ifx=int0^y(dt)/(sqrt(1+9t^2))a n d(d^2y)/(dx^2)=a y ,t h e nfin da

    Text Solution

    |

  19. The integral underset(0)overset(pi)int x f(sinx )dx is equal to

    Text Solution

    |

  20. Let f(x) be an odd continuous function which is periodic with period...

    Text Solution

    |