Home
Class 12
MATHS
int(0)^(oo) (dx)/((1+x^(2))^(4))=...

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

A

`(3pi)/(26)`

B

`(7pi)/(28)`

C

`(5pi)/(32)`

D

`(9 pi)/(24)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.1 (Level-1)|6 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 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

If int_(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=kpi then the value of k is

The value of the integral int_(0)^(oo)(xlogx)/((1+x^(2))^(2))dx is

Prove that int_(0)^(oo) (dx)/((x^(2)+a^(2))(x^(2)+b^(2)))=(pi)/(2ab(a+b))

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

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

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

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))=

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

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

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