Home
Class 12
MATHS
Evaluate the following : int(0)^(pi//2...

Evaluate the following :
`int_(0)^(pi//2)(sin^(2)x)/((1+cosx)^(2))dx`

Text Solution

Verified by Experts

`2-(pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 14.2 PROPERTIES OF DEFINITE INTEGRALS|4 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(sin^(2)xdx)/((1+cosx)^(2))= ………

Evaluate the following : int_(0)^(pi//2)x sin x dx

Evaluate the following integral: int_0^(pi//2)(sin^2x)/((1+cos x)^2)dx

Evaluate the following : int_(0)^(pi//2)(sinx)/(sinx+cosx)dx

Evaluate the following : int_(0)^(pi//2)(sinx-cosx)/(1+sinx.cosx)dx

Evaluate the following : int_(0)^(pi//2)(sin xcosx)/(1+sin^(4)x)dx

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

Evaluate the following : int_(0)^(pi//2)(sinx cos x)/((2sinx+1)(sin x+1))dx .

Evaluate the following : int_(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.

Evaluate the following: int_0^(pi/2) |cosx-sinx|dx

NAVNEET PUBLICATION - MAHARASHTRA BOARD-DEFINITE INTEGRALS-Examples for Practice
  1. Evaluate the following : int(0)^(1)x.sqrt((1-x^(2))/(1+x^(2)))dx

    Text Solution

    |

  2. Evaluate the following integrals: int0^1sqrt((1-x)/(1+x))dx

    Text Solution

    |

  3. Evaluate the following : int(0)^(pi//2)(sin^(2)x)/((1+cosx)^(2))dx

    Text Solution

    |

  4. int(0)^(pi//4)(tan^(3)x)/((1+cos2x))dx

    Text Solution

    |

  5. int0^(pi/4) tan^4xdx=

    Text Solution

    |

  6. Evaluate the following : int(0)^(pi//4)sec^(4)xdx.

    Text Solution

    |

  7. Evaluate the following : int(0)^(pi//6)(dx)/(3-2 sin^(2)x)

    Text Solution

    |

  8. Evaluate the following : int(0)^(pi//4)(dx)/(3+4 cos^(2)x)dx

    Text Solution

    |

  9. Evaluate the following : int(0)^(pi//4)(dx)/(3 cos 2x+5)

    Text Solution

    |

  10. Evaluate the following : int(0)^(pi//2)(1)/(5+4 cos x)dx

    Text Solution

    |

  11. Evaluate the following : int(0)^(pi//2)(dx)/(3+5sinx).

    Text Solution

    |

  12. Evaluate the following : int(0)^(pi//2)x^(2)sinxdx

    Text Solution

    |

  13. Evaluate the following : int(0)^(1)tan^(-1)((2x)/(1-x^(2)))dx

    Text Solution

    |

  14. Evaluate the following : int(0)^(1)x tan^(-1)xdx

    Text Solution

    |

  15. Evaluate the following : int(0)^(1)e^(x^(2)).x^(3)dx

    Text Solution

    |

  16. Evaluate the following : int(0)^(1)(cos^(-1)x)^(2)dx

    Text Solution

    |

  17. Evaluate the following : int(0)^(11//sqrt2)(sin^(-1)x)/((1-x^(2))^(3...

    Text Solution

    |

  18. Evaluate the following : int(1)^(2)(x+3)/((x(x+2))dx

    Text Solution

    |

  19. Evaluate the following : int(0)^(pi//4)(sec^(2)x)/((1+tanx)(2+tanx))...

    Text Solution

    |

  20. Evaluate the following : int(0)^(pi//2)(sinx cos x)/((2sinx+1)(sin x...

    Text Solution

    |