Home
Class 12
MATHS
Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2s...

Evaluate: `int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)dx

Evaluate : int_0^(pi//2)(a^2cos^2x+b^2sin^2x)dx

Evaluate: int_0^pi x/(a^2cos^2x+b^2sin^2x)dx

Evaluate: int_0^(pi//2)1/(cos^3xsqrt(2sin2x))dx

Evaluate: int_0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx

int_0^pix/(a^2cos^2x+b^2sin^2x)dx

Evaluate: int_0^(pi//2)1/(4sin^2x+5cos^2x)dx

Evaluate the following definite integral: int_0^(pi//2)(a^2 cos^2x+b^2sin^2\ \ x)dx

Evaluate int(sin2x)/(a^2cos^2x+b^2sin^2x)dx

Evaluate int_0^pi x/(a^2-cos^2x)dx

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n-1)dot

    Text Solution

    |

  2. If In=int0^(pi//4)tan^n x dx , show that 1/(I2+I4),1/(I3+I5),1/(I4+...

    Text Solution

    |

  3. Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx

    Text Solution

    |

  4. Find dy/dx if x^2=cosy

    Text Solution

    |

  5. Evaluate: int0^a1/((x^2+a^2))dx (ii) int0^oo(x^2)/((a^2+x^2)^(5//2))dx

    Text Solution

    |

  6. Evaluate: int0^1xsqrt((1-x^2)/(1+x^2))dx

    Text Solution

    |

  7. Evaluate the following integrals: int (sin)^(-1)sqrt(x/(a+x))dx

    Text Solution

    |

  8. Evaluate the following integrals: int1^2 1/(x(1+logx)^2)dx

    Text Solution

    |

  9. Evaluate the following integrals: int0^(pi//4)(sin^2xcos^2x)/((sin...

    Text Solution

    |

  10. Evaluate the following integrals: int0^(pi//2)(tanx)/(1+m^2tan^2x)d...

    Text Solution

    |

  11. Evaluate: int0^1|5x-3|dx (ii) int0^pi|cosx|dx (iii) int(-5)^5|x-2...

    Text Solution

    |

  12. Evaluate: (i) \int(-1)^1f(x)dx ,\where\, f(x)={1-2x ,xlt=0 ;1+2x ,xgt=...

    Text Solution

    |

  13. int (1)^x 1/x dx =

    Text Solution

    |

  14. If a >0, find int0^(3a)|x^2-a^2|dxdot

    Text Solution

    |

  15. If [dot] denotes the greatest integer function, then find the valu...

    Text Solution

    |

  16. Evaluate: int0^3[x]dx

    Text Solution

    |

  17. int0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) ...

    Text Solution

    |

  18. Evaluate the following integrals: int(-a)^a(xe^x^2)/(1+x^2)dx

    Text Solution

    |

  19. Evaluate the following integrals: int0^(pi//4)|cos2x|dx

    Text Solution

    |

  20. Evaluate the following integrals: int-5^0f(x)dx ,w h e r ef(x)=|x|+|x+...

    Text Solution

    |