Home
Class 12
MATHS
If int(cos4x+1)/(cotx-tanx)dx = Acos4x+B...

If `int(cos4x+1)/(cotx-tanx)dx = Acos4x+B ,t h e n` (a)`A=-1/8` (b) `B=1/2` (c) `f(x)` has fundamental period `pi/2` (d)`f(x)` is an odd function

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

int(1+cos4x)/(cotx-tanx)dx

int(1+cos4x)/(cotx-tanx)\ dx

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

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

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

Evaluate: int(1+cos4x)/(cotx-tanx)\ dx

If f(x)=cos^2x+s e c^2x ,t h e n (a) f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1 (d) """"f(x)ge2

If f(x)=cos^2x+s e c^2x ,t h e n f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1 (d) """"f(x)ge2

If lim_(x->oo)((x^2+x+1)/(x+1)-a x-b)=4,t h e n (a) a=1,b=4 (b) a=1,b=-4 (c) a=2,b=-3 (d) a=2,b=3

If f(x)=int(x^8+4)/(x^4-2x^2+2)dx and f(0)=0,t h e n (a) f(x) is an odd function (b) f(x) has range R (c) f(x) has at least one real root (d) f(x) is a monotonic function.

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Ifint(x^4+1)/(x^6+1)dx=tan^(-1)f(x)-2/3tan^(-1)g(x)+C ,t h e n both f...

    Text Solution

    |

  2. If intsin^(-1)xcos^(-1)xdx=f^(-1)(x) [π/2x-xf^(-1)(x)-2sqrt(1-x^2)]+2...

    Text Solution

    |

  3. If int(cos4x+1)/(cotx-tanx)dx = Acos4x+B ,t h e n (a)A=-1/8 (b) B=1/...

    Text Solution

    |

  4. Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C Statement...

    Text Solution

    |

  5. Statement 1: int(sinxdx)/x ,(x >0), cannot be evaluated. Statement 2:...

    Text Solution

    |

  6. int(4e^x+6e^(-x))/(9e^x-4e^(-x))dx=A x+Blog(9e^(2x)-4)+C ,t h e n A= ...

    Text Solution

    |

  7. The value of the integral int(cos^3x+cos^5x)/(sin^2x+sin^4x)dxi s si...

    Text Solution

    |

  8. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

    Text Solution

    |

  9. Evaluate: for m in N , intx^(3m)+x^(2n)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx...

    Text Solution

    |

  10. Evaluate: int(cos^4x)/(sin^3x(sin^5x+cos^5x)^(3/5))dx

    Text Solution

    |

  11. Evaluate: int sqrt(1+cosec x) dx ,(0 < x < pi/2)

    Text Solution

    |

  12. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

  13. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

    Text Solution

    |

  14. Evaluate: int(dx)/(x^3sqrt(x^2-1))

    Text Solution

    |

  15. Evaluate : int(2x)/((1-x^2)sqrt(x^4-1))dx

    Text Solution

    |

  16. Evaluate: intsqrt(secx-1)dx

    Text Solution

    |

  17. Evaluate: intsqrt((3-x)/(3+x))sin^(-1)(1/6sqrt(3-x))dx

    Text Solution

    |

  18. Evaluate: int((1-xsinx)dx)/(x(1-x^3e^(3cosx)))

    Text Solution

    |

  19. Evaluate: If intcos^nxdotdx prove that In=1/n(cos^(n-1)xsinx)+((n-1)/n...

    Text Solution

    |

  20. Evaluate: int(x^2-1)/(xsqrt((x^2+alphax+1)(x^2+betax+1)))dx

    Text Solution

    |