Home
Class 12
MATHS
If int(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x...

If `int_(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)/(2(a+b)(b+c)(c+a))" then "int_(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=`

A

`pi/60`

B

`pi/20`

C

`pi/40`

D

`pi/80`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|67 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(oo) (ln x)/(x^(2)+a^(2))dx=

int_(0)^(2)x^(2)[x]dx=

int_(0)^(oo) (x^(3))/((1+x^(2))^(9//2))dx=

int_(0)^(oo) (dx)/((1+x^(2))^(4))=

int_(0)^(oo) (x)/((1+x)(1+x^(2)))dx=

int (1)/((x^(2)+a^(2))(x^(2)+b^(2)))dx=

int_(0)^(oo)(dx)/((x+sqrt(x^(2)+1))^(3))=

int_(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=

int_(0)^(oo) (dx)/((x+sqrt(x^(2)+1))^(3))=

int_(0)^(oo)(logx)/(1+x^(2))dx=

AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
  1. int(0)^(pi//4) [sqrt(tan x)+sqrt(cot x)]dx

    Text Solution

    |

  2. 2 int(0)^(1) (tan^(-1)x)/(x) dx=

    Text Solution

    |

  3. If int(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)...

    Text Solution

    |

  4. int(0)^(pi) (1)/(3+2 sin x+ cos x)dx=

    Text Solution

    |

  5. int(0)^(pi//2) sin 2x .tan^(-1)(sin x)dx=

    Text Solution

    |

  6. int(0)^(1)(xSin^(-1)x)/(sqrt(1-x^(2)))dx=

    Text Solution

    |

  7. int(0)^(pi//2) e^(x)((1+sin x)/(1+cos x))dx=

    Text Solution

    |

  8. int(2)^(e) ((1)/(ln x) - (1)/((ln x)^(2)))dx=

    Text Solution

    |

  9. If A = int(0)^(1) (e^(t))/(1+ t)dt then int(0)^(1) e^(t) ln (1 + t) dt...

    Text Solution

    |

  10. int(0)^(1) ((1-x^(2))dx)/(x^(4)+x^(2)+1)=

    Text Solution

    |

  11. If k int(0)^(1) x f (3 x) dx = int(0)^(3) t f(t) dt then k=

    Text Solution

    |

  12. If (d)/(dx) f(x) = g(x) then int(a)^(b) f(x) g(x) dx=

    Text Solution

    |

  13. Let (d)/(dx) f(x) = (e^(sin x))/(x) , x gt 0. If int(1)^(4) 3/x e^(s...

    Text Solution

    |

  14. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1andg(x) be a f...

    Text Solution

    |

  15. Let F(x)= f(x) + f(1/x), where f(x)= int(1)^(x) (ln t)/(1+t)dt, then F...

    Text Solution

    |

  16. If f(x)=(1+ tan x) [1+ tan(pi/4 - x)] and g(x) is a function with doma...

    Text Solution

    |

  17. y= int(x)^(x^(2)) sqrt(5-t^(2))dt then the value of (dy)/(dx) at x= sq...

    Text Solution

    |

  18. If int(e)^(x) t f(t)dt= sin x - x cos x - (x^(2))/(2) for all x in R -...

    Text Solution

    |

  19. If int(0)^(b-c) f(x+c) dx = k int(b)^(c) f (x) dx then k=

    Text Solution

    |

  20. If f is every where continuous function then 1/c int(ac)^(bc) f(x/c) d...

    Text Solution

    |