Home
Class 12
MATHS
Evaluate: (i) int(sin2x)/(acos^2x+bsin^2...

Evaluate: (i) `int(sin2x)/(acos^2x+bsin^2x)\ dx` (ii) `int(cosx)/(2+3sinx)\ dx`

Text Solution

AI Generated Solution

Let's solve the integrals step by step. ### (i) Evaluate the integral: \[ \int \frac{\sin 2x}{A \cos^2 x + B \sin^2 x} \, dx \] **Step 1: Substitution** ...
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((3sinx-2)cosx)/(5-cos^2x-4sinx)\ dx

Evaluate: (i) int(sinx)/(1+cos^2x)\ dx (ii) int(2x^3)/(4+x^8)\ dx

Evaluate: (i) int(sin2x)/((a+b cos2x)^(2))dx (ii) int(log x^(2))/(x)dx

Evaluate: (i) int(sin4x)/(sin2x)dx( ii) int(sin4x)/(cos2x)dx

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

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

Evaluate : int(sinx)/(sin 2x)dx

Evaluate : (i) int(sin4x)/(cos2x)dx (ii) int(sin4x)/(sinx)dx

Evaluate: (i) int tan^(-1)((sin2x)/(1+cos2x))dx( ii) int cos^(-1)(sin x)dx

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

RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate: (i) int(secx\ cos e c\ x)/(log(tanx)\ dx (ii) int1/(x\ (3+lo...

    Text Solution

    |

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

    Text Solution

    |

  3. Evaluate: (i) int(sin2x)/(acos^2x+bsin^2x)\ dx (ii) int(cosx)/(2+3sinx...

    Text Solution

    |

  4. Evaluate: (i) int(1-sinx)/(x+cosx)\ dx (ii) inta/(b+c e^x)\ dx

    Text Solution

    |

  5. Evaluate: (i) int1/(e^x+1)\ dx (ii) int(cotx)/(logsinx)\ dx

    Text Solution

    |

  6. Evaluate: (i) int(e^(2x))/(e^(2x)-2)\ dx (ii) int(2cosx-3sinx)/(6cosx+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |