Home
Class 12
MATHS
If int(dx)/(sin^4x+cos^4x)=1/(sqrt(2))ta...

If `int(dx)/(sin^4x+cos^4x)=1/(sqrt(2))tan^(- 1)f(x)+C` then

A

`f(x)=tanx-cotx`

B

`f((pi)/(4))=0`

C

`f(x)` is continuous on R

D

`f(x)=1//2(tan x-cotx)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

underset then If int(dx)/(sin^(4)x+cos^(4)x)=(1)/(sqrt(2))tan^(-1)f(x)+C

int 1/(sin^2x cos^4x)dx

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c , then f(pi/3)=

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)(tan^kx)+c , then k is=

If int(sin x)/(sin^(2)x+4cos^(2)x)dx=(1)/(sqrt(3))Tan^(-1)((g(x))/(sqrt(3)))+c then g(x)=.....

int(1)/(sin^(2)x-4 cos^(2)x)dx

" If "int(1)/(x^(4)+1)dx=(1)/(2sqrt(2))tan^(-1)((x^(2)-1)/(sqrt(2)x))+A+c" .Then "A" is equal to "

" If "int(1)/(x^(4)+1)dx=(1)/(2sqrt(2))tan^(-1)((x^(2)-1)/(sqrt(2)x))+A+c" .Then "A" is equal to "

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. Function g(x)=int- 3^xsint(1/2-cost)dt where 0 < x < 2pi, has

    Text Solution

    |

  2. int(dx)/((x+3)^(8//7)(x-2)^(6//7)) is equal to

    Text Solution

    |

  3. If int(dx)/(sin^4x+cos^4x)=1/(sqrt(2))tan^(- 1)f(x)+C then

    Text Solution

    |

  4. int(cosalpha)/(a^2+sin^2alpha)d alpha is equal to

    Text Solution

    |

  5. int((x^2+2))/((x^2+1)(x^2+4))dx (for 0 < x < 1)=

    Text Solution

    |

  6. int(dx)/(sqrt(x^2-9)+sqrt(x^2-4))=

    Text Solution

    |

  7. int(e^x[x^3(x+2)+8])/((x+2)^2)dx=

    Text Solution

    |

  8. int(x^3-6x^2+10 x-2)/(x^2-5x+6)dx=

    Text Solution

    |

  9. int(1+cos 4x)/(cotx-tanx)dx=

    Text Solution

    |

  10. If f(x) is a polynomial of degree three such that f(0) = 1, f(1) = 2...

    Text Solution

    |

  11. intc o s e c^(p /3)xsec^(q /3)x dx=(p,q in I^+ and p+q=12)

    Text Solution

    |

  12. If f(x) = min({x}, {-x}) x in R, where {x} denotes the fractional par...

    Text Solution

    |

  13. int(0)^(oo)[2e^(-x)]dx, where [.] deontes greatest integer function, i...

    Text Solution

    |

  14. int0^oo[3/(x^2+1)]dx, where [.] denotes the greatest integer function,...

    Text Solution

    |

  15. The value of int(1//e)^(tanx)(tdt)/(1+t^(2))+int(1+t^(2))^(cotx)(dt)/(...

    Text Solution

    |

  16. If int(pi/2)^x sqrt(3-2sin^2) tdt+ int0^y costdt=0, then (dy/dx)at x =...

    Text Solution

    |

  17. Let f(x)=int3^(25n+1/4) e^({2x+3}) dx, where {x} is fractional part of...

    Text Solution

    |

  18. If f(x)=ae^(2x)+be^(x)+cx satisfies the condition f(0)=ae^(2x)+be^(x)+...

    Text Solution

    |

  19. The value of inte^(pi^2) [logpi x]\ d(loge x) is

    Text Solution

    |

  20. 7(int0^1(x^4(1-x)^4dx)/(1+x^2)+pi) is equal to

    Text Solution

    |