Home
Class 12
MATHS
If int0^pi 1/(a+bcosx)dx=pi/sqrt(a^2-b^2...

If `int_0^pi 1/(a+bcosx)dx=pi/sqrt(a^2-b^2)`, then `int_0^pi 1/(a+bcosx)^2dx` is

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

int_0^pi dx/(1+cosx)

int(sin2x)/(a+bcosx)^2dx

int_0^(pi/2) cosx/sqrt(1+sinx)dx

int_0^(pi/2)1/(1+tan^2x)dx

int_0^(pi/2) cosx/(1+sinx)dx

Evaluate: int_0^(pi/2)xcosx dx

Evaluate: int_0^(pi//2)1/(3+2cosx)dx

Evaluate: int_0^(pi//2)cosx\ dx

Evaluate: int_0^(pi/2)xcotx dx

If A=int_0^pi cosx/(x+2)^2 \ dx , then int_0^(pi//2) (sin 2x)/(x+1) \ dx is equal to

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate: int(-pi//2)^(pi//2)log(sinx+cosx)dx

    Text Solution

    |

  2. Evaluate: int0^pixlogsinxdx

    Text Solution

    |

  3. If int0^pi 1/(a+bcosx)dx=pi/sqrt(a^2-b^2), then int0^pi 1/(a+bcosx)^2d...

    Text Solution

    |

  4. int0^1sqrt((1-x)/(1+x))dx= (a) (pi)/2 (b) (pi)/2-1 (c) (pi)/2+1 (d...

    Text Solution

    |

  5. int0^(pi//2)(cosx)/((2+sinx)(1+sinx))dx equals (a)log(2/3) (b) l...

    Text Solution

    |

  6. int0^pi(xtanx)/(secx+cosx)dxi s (a) (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2...

    Text Solution

    |

  7. int0^21/(1+tanx)dx is equal to (pi^)/4 (b) (pi^)/3 (c) (pi^)/...

    Text Solution

    |

  8. int(-pi//2)^(pi//2)"sin"|x|dx is equal to (a) 1 (b) 2 (c) -1 (d)...

    Text Solution

    |

  9. The value of the integral int0^oox/((1+x)(1+x^2))dx is (pi^)/2 (b) ...

    Text Solution

    |

  10. int0^3(3x+1)/(x^2+9)dx = (pi^)/(12)+log(2sqrt(2)) (b) (pi^)/2+log(2...

    Text Solution

    |

  11. I10=int0^(pi/2)x^(10)sinx dx then I10+90I8 is (A) 10(pi/2)^6 (B) 10(p...

    Text Solution

    |

  12. The derivative of f(x)=int(x^2)^(x^3)1/((log)e t)dt ,(x >0), is 1/(...

    Text Solution

    |

  13. Evaluate:int0^(pi//2)(cosx)/(1+cosx+sinx)dx

    Text Solution

    |

  14. Evaluate: int0^(pi//2)1/(3+2cosx)dx

    Text Solution

    |

  15. Evaluate: int(pi//4)^(pi//2)cos2xlogsinxdx

    Text Solution

    |

  16. integrate int0^(2pi) sin (pi/4 + x/2) dx

    Text Solution

    |

  17. Evaluate: int1^2 1/((x+1)(x+2))dx (ii) int1^2 1/(x(1+x^2))dx

    Text Solution

    |

  18. Evaluate:(i) int0^(pi//6)(2+3x^2)dx

    Text Solution

    |

  19. Evaluate: int0^4 1/(x+sqrt(x))dx (ii) int0^1(2x)/(5x^2+1)dx

    Text Solution

    |

  20. Evaluate the following definite integrals (1-58): int1^2 1/(sqrt((x...

    Text Solution

    |