Home
Class 12
MATHS
int(pi/3)^(pi/2) sqrt(1+cosx)/(1-cosx)^(...

`int_(pi/3)^(pi/2) sqrt(1+cosx)/(1-cosx)^(5/2) dx`

A

`(5)/(2)`

B

`(3)/(2)`

C

`(1)/(2)`

D

`(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_(pi//3)^(pi//2)(sqrt(1+cosx))/((1-cosx)^(3//2))dx

int_0^pi sqrt(1+cosx)/(1-cosx)^(5//2) dx

int_(0)^(pi//2)sqrt(1+cosx)dx

Evaluate int_(-pi//2)^(pi//2) sqrt(cosx-cos^(3)x)dx .

Evaluate int_(pi/3)^(pi/2) e^x((1+sinx)/(1+cosx))dx

int_(-pi/2)^(pi/2)cosx dx

Evaluate int_(-pi//3)^(pi//3)(sqrt(1+sin2x))/(|cosx|)dx ,

int_(0)^(pi//2)(sqrt(sinx)cosx)^(3)dx=?

int_(0)^( pi/2)(cosx)/(1+sin x)dx

MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
  1. The integral underset(0)overset(a)int (g(x))/(f(x)+f(a-x))dx vanishes...

    Text Solution

    |

  2. If I(n)=underset(0)overset(pi//4)inttan^(n)x dx, then (1)/(I(2)+I(4)...

    Text Solution

    |

  3. The value int(-2)^(2) (plog ((1+x)/(1-x)) + q log ((1-x)/(1+x))^(-2) +...

    Text Solution

    |

  4. lim(n to oo)((sum(r=1)^(n)r^(2))(sum(r=1)^(n)r^(3)))/((sum(r=1)^(n)r^(...

    Text Solution

    |

  5. If : int(0)^(pi)ln(sin x) dx = k, then : int(0)^(pi//4)ln (1+tan x)=

    Text Solution

    |

  6. int(pi/3)^(pi/2) sqrt(1+cosx)/(1-cosx)^(5/2) dx

    Text Solution

    |

  7. int(-pi//2)^(pi//2)(sin^(2)x.cos^(2)x(sin x+cos x))dx=

    Text Solution

    |

  8. If : int(ln 2)^(x)(1)/(sqrt(e^(t)-1))dt=(pi)/(6), then : x =

    Text Solution

    |

  9. int(0)^(pi//2)sin x.cos x. sqrt(a^(2).sin^(2)x+b^(2).cos^(2)x)dx=

    Text Solution

    |

  10. If int0^oo (x^2 \ dx)/((x^2+a^2)(x^2+b^2)(x^2+c^2)) = pi/(2(a+b)(b+c)(...

    Text Solution

    |

  11. int(0)^(2) (2x-2)/(2x-x^(2)) dx is equal to

    Text Solution

    |

  12. int(1)^(e^(99))(sin(pi.ln x))/(x)dx=

    Text Solution

    |

  13. Evaluate : lim(n-> oo) (1^4+2^4+3^4+...+n^4)/n^5 - lim(n->oo) (1^3+2^3...

    Text Solution

    |

  14. int(0) ^(pi//2) ((sin x +cos x )^(2))/sqrt(1+ sin 2x)dx =

    Text Solution

    |

  15. The value of int(8 log(1+x))/(1+x^(2)) dx is

    Text Solution

    |

  16. Find lim(ntooo)(1/(n+1)+1/(n+2)+...+1/(6n))

    Text Solution

    |

  17. (x.sin^(-1)x^(2))/(sqrt(1-x^(4)))

    Text Solution

    |

  18. overset(2pi) underset(0)int(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx,n gt 0...

    Text Solution

    |

  19. If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 and int0^1 f(x)dx=(2A)/pi then ...

    Text Solution

    |

  20. int(pi//4)^(3pi//4)(dx)/(1+cos x)=

    Text Solution

    |