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

`int_(0)^(oo)(x)/((1+x)(1+x^(2)))` dx equals to :

A

`pi/4`

B

`pi/2`

C

is same as `underset(0)overset(oo)int(dx)/((1+x)(1+x^(2)))`

D

cannot be evaluated

Text Solution

Verified by Experts

The correct Answer is:
A, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - IV|9 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 3 Part - I|50 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - II|23 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • The value of definite integral int _(0)^(oo) (dx )/((1+ x^(9)) (1+ x^(2))) equal to:

    A
    `(pi)/(16)`
    B
    `(pi)/(8)`
    C
    `(pi)/(4)`
    D
    `(pi)/(2)`

  • The value of int_(0)^(oo)(dx)/(1+x^(4)) is equal to

    A
    `(pi)/(2sqrt2)`
    B
    `(pi)/(2)`
    C
    `(pi)/(sqrt2)`
    D
    `2pisqrt2`

  • The value of int_(0)^(oo) (dx)/(a^(2)+x^(2)) is equal to

    A
    `(pi)/(2)`
    B
    `(pi)/(2a)`
    C
    `(pi)/(a)`
    D
    `(1)/(2a)`

    • Similar Questions

    Explore conceptually related problems

    int_(0)^(oo)(1)/(x+a)dx

    The value fo the integral I=int_(0)^(oo)(dx)/((1+x^(2020))(1+x^(2))) is equal to kpi , then the value of 16k is equal to

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

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

    int_(1)^(oo)(dx)/(x^(2))

    Home
    Profile