Home
Class 12
MATHS
If l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c...

If `l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c` then `f(x)` is equal to

A

`sqrt(2)sin^(-1)(sinx-cosx)`

B

`(pi)/(sqrt(2))-sqrt(2)cos^(-1)(sinx-cosx)`

C

`sqrt(2)tan^(-1)((tanx-1)/(sqrt(2tanx)))`

D

`sin2x`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assertion-Reason Type Questions|15 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (Only one answer)|70 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

int(sqrt(tanx)+sqrt(cotx))dx is equal to

Evaluate: int(sqrt(tanx)+sqrt(cotx))dx

Evaluate: int(sqrt(tanx)+sqrt(cotx))dx

Find int(sqrt(cotx)+sqrt(tanx))dx

If f'(x)=sqrt(x) and f(1)=2 then f(x) is equal to

If I=int(sqrt(cotx)-sqrt(tanx))dx, then I equals

int(sec^(2)x)/(sqrt(tanx))dx

If int (e^x-1)/(e^x+1)dx=f(x)+C, then f(x) is equal to

If int(sqrt(cotx))/(sinx cos x)dx=A sqrt(cotx)+B , then A is equal to ______________

If int((x+1))/sqrt(2x-1) dx= f(x) sqrt(2x-1)+C. Then f(x) is equal to (A) (x+4)/3 (B) (x+3)/4 (C) 2/3 (x+2) (D) x+4

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (More than one answer)
  1. int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C, x ne -1 then

    Text Solution

    |

  2. The value of int(x^(2)+cos^(2)x)/(1+x^(2))"cosec"^(2)x dx is equal to:

    Text Solution

    |

  3. If l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c then f(x) is equal to

    Text Solution

    |

  4. int(dx)/(5+4cosx)=lambdatan^(-1)(mtan.(x)/(2))+C then

    Text Solution

    |

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

    Text Solution

    |

  6. If int(3x ^(3)-17)e^(2x)dx={Ax^(3)+Bx^(2)+Cx+D}e^(2x)+k then

    Text Solution

    |

  7. The relation int(sin2x+cos2x)=(1)/(sqrt(2))sin(2x-a)+c is true for

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A primitive of sin 6x is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If f(x)=int0^x(sint)/t dt ,x >0, then

    Text Solution

    |