Home
Class 12
MATHS
intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se ...

`intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto` `2/3sin^(-1)(cos^(3/2)x)+C` `3/2sin^(-1)(cos^(3/2)x)+C` `2/3cos^(-1)(cos^(3/2)x)+C` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int sqrt((cos x-cos^(3)x)/(1-cos^(3)x))dx is equal to (2)/(3)sin^(-1)(cos^((3)/(2))x)+C(3)/(2)sin^(-1)(cos^((3)/(2))x)+C(2)/(3)cos^(-1)(cos^((3)/(2))x)+C(d) none of these

intsqrt((1+cos 3x)/(1-cos3x))dx=

The value of intsqrt((sinx-sin^3x)/(1-sin^3x))dx is equal to (A) sin^-1sin^(3/2)x+C (B) 2/3sin^-1(sin^(3/2)x)+C (C) -2/3cos^-1(sin^(3/2)x)+C (D) none of these

intcosx/sin^2x(1-3cos^3x)dx

If intsqrt((cos x-cos^(3)x)/(1-cos^(3)x))dx=f(x)+c , then f(x)=

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

int(sin^(3)(x)/(2)+cos^(3)(x)/(2))/(sin(x)/(2)+cos(x)/(2))dx

Solve (sin^(3)(x)/(2)-cos^(3)(x)/(2))/(2+sin x)=(cos x)/(3)

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx

RESONANCE DPP-JEE MAINS-All Questions
  1. Let P1 denote the equation of a plane to which the vector ( hat i+...

    Text Solution

    |

  2. Find the name of the conic represented by sqrt((x/a))+sqrt((y/b))=1.

    Text Solution

    |

  3. intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto 2/3sin^(-1)(cos^(3...

    Text Solution

    |

  4. The area bounded by the curves y""=""cos""x""a n d""y""="sin""x betwe...

    Text Solution

    |

  5. Let coefficient of a^4b^2c^2d^6 in (a+b+c+d)^(14) i s A Then is 'A' ...

    Text Solution

    |

  6. Let f(x)=sqrt(|x|-{x})(w h e r e{dot} denotes the fractional part of ...

    Text Solution

    |

  7. Square of the distance between the integral points of intersection ...

    Text Solution

    |

  8. int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2) + c

    Text Solution

    |

  9. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a...

    Text Solution

    |

  10. If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=ve...

    Text Solution

    |

  11. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i...

    Text Solution

    |

  12. vecalpha and vecbeta are two unit vectos and vecr is a vector such tha...

    Text Solution

    |

  13. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

    Text Solution

    |

  14. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40...

    Text Solution

    |

  15. Let f(x)={x^2+x ; -1 leq x lt 0 and lambda ;x=0 and log(1/2)(x+1/2) ;...

    Text Solution

    |

  16. Find the distance of the point (2, 3, -5) from the plane x+2y-z-9=0.

    Text Solution

    |

  17. f(x) is a continuous function for all real values of x and satisfies i...

    Text Solution

    |

  18. If 3xx3 order matrix A is such that det(A)= 2 then |A(a d jA)| is (a...

    Text Solution

    |

  19. If the coefficients of the rth, (r+1)t h ,(r-2)t h terms is the expans...

    Text Solution

    |

  20. if set A and B are defined as A={(x,y):y=e^(x),x in R} B={(x,y):y=...

    Text Solution

    |