Home
Class 12
MATHS
Evaluate the following integrals: int(0...

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

Text Solution

Verified by Experts

The correct Answer is:
`0`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION XII MOST IMPORTANT QUESTIONS FOR PRACTICE)|17 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int (cosx)/(1+sinx+cosx)

BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Evaluate the following integrals: int (x^(2)+x+1)/((x+2)(x^(2)+1))dx

    Text Solution

    |

  2. Find: int ((3sinphi-2)cosphi)/(5-cos^2phi-4sinphi)dphi

    Text Solution

    |

  3. Evaluate the following integrals: int(0)^(pi//2)(sinx-cosx)/(1+sinx c...

    Text Solution

    |

  4. Evaluate the following integrals: int(-pi//4)^(pi//4)sin^(2)x dx

    Text Solution

    |

  5. Evaluate the following integrals: int(-pi//4)^(pi//2)sin^(2)x dx

    Text Solution

    |

  6. Prove that: int(0)^(2pi)cos^(5)x=0

    Text Solution

    |

  7. Evaluate int(0)^(pi)log(1+cosx)dx

    Text Solution

    |

  8. Evaluate the following integrals : int1/(sqrt(x)-x)dx

    Text Solution

    |

  9. Evaluate the following integrals : int 1/ (x-sqrt(x))dx

    Text Solution

    |

  10. Evaluate the following integrals : int 1/(cos^(2)x+2sin^(2)x)dx

    Text Solution

    |

  11. Evaluate the following integrals : int 1/(sin^(2)x+4cos^(2)x)dx

    Text Solution

    |

  12. Evaluate int0^(pi/2) (cosx)/((2+sinx)(3+sinx) ) dx

    Text Solution

    |

  13. Evaluate int0^(pi/2) (cosx)/((3+sinx)(4+sinx) ) dx

    Text Solution

    |

  14. Evaluate the following integrals : int(0)^(pi//2)(cosx)/((4+sinx)(5+...

    Text Solution

    |

  15. Evaluate the following integrals : int(0)^(pi//2)(2sinx+3cosx)/(sinx...

    Text Solution

    |

  16. Using properties of definite integrals, show that int(0)^(pi//2)(xdx...

    Text Solution

    |

  17. Using properties of definite integrals, show that int(0)^(pi//2)(sin...

    Text Solution

    |

  18. Prove that : int0^pi (xtanx)/(secxcosecx)dx =pi^2/4.

    Text Solution

    |

  19. Evaluate: int(5x)/((x+1)(x^(2)-4))dx

    Text Solution

    |

  20. Evaluate the following integrals : intsin^(2)x cos^(2)x dx

    Text Solution

    |