Home
Class 12
MATHS
int(1+cos 4x)/(cotx-tanx)dx=...

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

A

`(1)/(8)cos 4x`

B

`(1)/(8)sin4x`

C

`-(1)/(8)cos 4x`

D

`-(1)/(8)sin4x`

Text Solution

Verified by Experts

The correct Answer is:
C
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

(1+cos4x)/(cotx-tanx)

If : int(1+cos4x)/(cotx-tanx)dx=A.cos 4x+B , then

If int(cos 4x+1)/(cotx-tanx)dx=a cos 4x+c, then a=

"If " int(cos 4x+1)/(cotx-tanx)dx=Acos4x+B, " then "

If int (cos4x+1)/(cotx-tanx)dx=Af(x)+B, then

int(cos 4x-1)/(cot x-tanx)dx is equal to

If int(cos4x+1)/(cotx-tanx)dx=kcos4x+c , then k= (A) -1/4 (B) -1/2 (C) -1/8 (D) none of these

l=int(cos^(4)x+1)/(cotx-tanx)dx is equal to

int(cos4x-1)/(cotx-tanx)dx is equal to

(i) int (1-tanx)/(1+tanx) dx (ii) int (1- cot x)/(1+ cot x) dx

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. int(e^x[x^3(x+2)+8])/((x+2)^2)dx=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. 7(int0^1(x^4(1-x)^4dx)/(1+x^2)+pi) is equal to

    Text Solution

    |

  15. int(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dxi se q u a lto...

    Text Solution

    |

  16. If I=int(0)^(pi//2)sin 2n x log cos x dx. Then l is same as

    Text Solution

    |

  17. "I f"I1=int(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I2=int(-10...

    Text Solution

    |

  18. If f(x)=[|x|], then int0^100 f(x)dx is equal to (where [.] denotes the...

    Text Solution

    |

  19. Ifint(-pi)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx)=kint(-pi/2...

    Text Solution

    |

  20. If k be positive integer , then the number of values of k satisfying i...

    Text Solution

    |