Home
Class 12
MATHS
Evaluate: (i) int(-sinx+2cosx)/(2sinx+co...

Evaluate: (i) `int(-sinx+2cosx)/(2sinx+cosx)\ dx` (ii) `int(cos4x-cos2x)/(sin4x-sin2x)\ dx`

Text Solution

Verified by Experts

(i) `text { Let } {I}=int frac{-sin x+2 cos x}{2 sin x+cos x} d x`
Putting `2 sin x+cos x=t`
`Rightarrow 2 cos x-sin x=frac{d t}{d x} `
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(cos4x-cos2x)/(sin4x-sin2x)dx

int(sin x+cosx)/(sin x-cos x)^2dx

Evaluate : int(sinx-cosx)/(3+2sin2x)dx .

Evaluate : int(sinx+cosx)/(sin(x-a))dx

Evaluate: int((3sinx-2)cosx)/(5-cos^2x-4sinx)\ dx

int(cos2x)/(cosx-sinx)dx=

int(cos2x)/(sinx+cosx)dx=

Evaluate: int(sinx-cosx)/(sqrt(sin2x))\ dx

int(sinx.cosx)/(a^2sin^2x+b^2cos^2x)dx

Evaluate: int(sinx+cosx)/(sqrt(1+sin2x))\ dx

RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate: (i) int(e^(2x))/(e^(2x)-2)\ dx (ii) int(2cosx-3sinx)/(6cosx+...

    Text Solution

    |

  2. Evaluate: (i) int(cos2x+x+1)/(x^2+sin2x+2x)\ dx (ii) int1/(cos(x+a)cos...

    Text Solution

    |

  3. Evaluate: (i) int(-sinx+2cosx)/(2sinx+cosx)\ dx (ii) int(cos4x-cos2x)/...

    Text Solution

    |

  4. Evaluate: (i) int(secx)/(log(secx+tanx)\ dx (ii) int(cos e c\ x)/(logt...

    Text Solution

    |

  5. Evaluate: (i) int1/(xlogxlog(logx)\ dx (ii) int(cos e c^2x)/(1+cotx)\ ...

    Text Solution

    |

  6. Evaluate: (i) int(10\ x^9+10^x(log)e 10)/(10^x+x^(10))\ dx (ii) int(1-...

    Text Solution

    |

  7. Evaluate: (i) int(1+tanx)/(x+logsecx)\ dx (ii) int(sin2x)/(a^2+b^2sin^...

    Text Solution

    |

  8. Evaluate: (i) int(x+1)/(x\ (x+logx)\ dx (ii) int1/(sqrt(1-x^2)(2+3sin^...

    Text Solution

    |

  9. Evaluate: (i) int(sec^2x)/(tanx+2)\ dx (ii) int(2cos2x+sec^2x)/(sin2x+...

    Text Solution

    |

  10. Evaluate: (i) int(sin2x)/(sin5xsin3x)\ dx (ii) int(1+cotx)/(x+logsinx)...

    Text Solution

    |

  11. Evaluate: (i) int1/(sqrt(x)(sqrt(x)+1))\ dx (ii) inttan2xtan3xtan5x\ d...

    Text Solution

    |

  12. Evaluate: (i) int{1+tanxtan(x+theta)}\ dx (ii) int(sin2x)/(sin(x-pi/6...

    Text Solution

    |

  13. Evaluate: (i) int(e^(x-1)+x^(e-1))/(e^x+x^e)\ dx (ii) int1/(sinxcos^2x...

    Text Solution

    |

  14. Evaluate: int1/(cos3x-cosx)\ dx

    Text Solution

    |

  15. Evaluate: (i) int(3x+1)/((3x^2+2x+1)^3)\ dx (ii) intsin^3xcosx\ dx

    Text Solution

    |

  16. Evaluate: (i) inttan^3xsec^2x\ dx (ii) int((logx)^3)/x\ dx

    Text Solution

    |

  17. Evaluate: (i) int(4\ (sin^(-1)x)^3)/(sqrt(1-x^2))\ dx (ii) int(log(tan...

    Text Solution

    |

  18. Evaluate: (i) int(sinx)/(sqrt(3+2cosx))\ dx

    Text Solution

    |

  19. Evaluate: (i) int((1+logx)^2)/x\ dx (ii) int(sec^2(2tan^(-1)x))/(1+x^2...

    Text Solution

    |

  20. Evaluate: (i) int(tanxsec^2x)/((a+btan^2x)^2)\ dx (ii) intsec^3xtanx\ ...

    Text Solution

    |