Home
Class 12
MATHS
Prove that int(0)^(pi//2)(dx)/((a^(2) c...

Prove that `int_(0)^(pi//2)(dx)/((a^(2) cos^(2) x +b^(2) sin^(2)x)^(2))=(pi(a^(2)+b^(2)))/(4a^(3)b^(3))`.

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate int_0^(pi//2) (dx)/(3+cos^2x)

Evalute : int_0^(pi)(xdx)/(a^2cos^2x+b^2sin^2x)

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

int_(0)^(pi//4)e^( sinx)(((x cos^(3)x- sinx))/( cos^(2)x))dx

underset0overset(pi//2)int dx/(a^2cos^2x+b^2sin^2x)

Prove that int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x)dx = 0 .

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Prove that int(0)^(pi//2)(dx)/((a^(2) cos^(2) x +b^(2) sin^(2)x)^(2))...

    Text Solution

    |

  2. The total number of distinct x in R for which |{:(x,x^(2),1+x^(3)...

    Text Solution

    |

  3. Let f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x for all x in (-pi/2,pi/2) . ...

    Text Solution

    |

  4. Let f'(x)=(192x^(3))/(2+sin^(4)pix) for all x epsilonR with f(1/2)=0. ...

    Text Solution

    |

  5. The option(s) with the values of aa n dL that satisfy the following eq...

    Text Solution

    |

  6. Let F:RtoR be a thrice differntiable function. Suppose that F(1)=0,F(3...

    Text Solution

    |

  7. Let F:RtoR be a thrice differntiable function. Suppose that F(1)=0,F(3...

    Text Solution

    |

  8. If f(x)=x-[x], where [x] is the greatest integer less than or equal to...

    Text Solution

    |

  9. If alpha=int0^1(e^(9x+3tan^(-1)x))((12+9x^2)/(1+x^2))dx where tan^(-1)...

    Text Solution

    |

  10. The integral overset(pi//2)underset(pi//4)int (2 cosecx)^(17)dx is equ...

    Text Solution

    |

  11. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

    Text Solution

    |

  12. Match the conditions/ expressions in Column I with statement in Column...

    Text Solution

    |

  13. Find x+y+z

    Text Solution

    |

  14. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is

    Text Solution

    |

  15. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

    Text Solution

    |

  16. The value of int(In2)^(In3) (x sinx)dx is

    Text Solution

    |

  17. Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int1...

    Text Solution

    |

  18. The value of int(0)^(1)(x^(4)(1-x)^(4))/(1+x^(2))dx is (are)

    Text Solution

    |

  19. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^...

    Text Solution

    |

  20. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

    Text Solution

    |

  21. Which of the following is true?

    Text Solution

    |