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

Evaluate the following integrals :
`int_(0)^(pi//2)(2logcosx-logsin 2x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(-pi)/2log2`
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
BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Evaluate the following integrals : intcos^(4)x.dx

    Text Solution

    |

  2. Evaluate the following integrals : int(sinxdx)/sin(x-a)

    Text Solution

    |

  3. Evaluate the following integrals : int(0)^(pi//2)(2logcosx-logsin 2x...

    Text Solution

    |

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

    Text Solution

    |

  5. Evaluate the following as limit of sum int(1)^(3)2^(x)dx

    Text Solution

    |

  6. Evaluate int((cosx-sinx)dx)/(1+sin2x)

    Text Solution

    |

  7. Evaluate the following integral int((e^(5logx)-e^(4logx)) dx)/((e^(3...

    Text Solution

    |

  8. Evaluate the following as limit of sum int(x+2)/(sqrt(x^(2)+2x+3))dx

    Text Solution

    |

  9. Evaluate the following integrals: intx^(3)sqrt(3+5x^(4))dx

    Text Solution

    |

  10. Evaluate the following integrals: int e^(x)("tan"^(-1)x+1/(1+x^(2)))...

    Text Solution

    |

  11. Evaluate the following integrals: int e^(x)(log x+1/x)dx

    Text Solution

    |

  12. Evaluate the following integrals: int cos^3xe^(logsinx)dx

    Text Solution

    |

  13. Evaluate the following integrals: int 1/(x^(3)+1)dx

    Text Solution

    |

  14. Evaluate the following integrals: int (2x+4)sqrt(x^(2)+4x+3)dx

    Text Solution

    |

  15. Evaluate the following integrals: int(0)^(2)(x^(2)+3)dx

    Text Solution

    |

  16. Evaluate the following integrals: int(0)^(2)(x^(3)+1)dx

    Text Solution

    |

  17. Evaluate the following integrals: intcos^(4)2x dx

    Text Solution

    |

  18. Evaluate the following integrals: int x(logx)^(2)dx

    Text Solution

    |

  19. Evaluate the following integrals: int x cos^(-1)x dx

    Text Solution

    |

  20. Evaluate the following integrals: int (dx)/(x^(2)-6x+13)

    Text Solution

    |