Home
Class 12
MATHS
Evaluate int(0)^(oo)[(3)/(x^(2)+1)]dx ...

Evaluate
`int_(0)^(oo)[(3)/(x^(2)+1)]dx`
where [.] denotes the greatest integer function.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-I)|13 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-II)|10 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 4:|4 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(-5)^(5)x^(2)[x+(1)/(2)]dx (where [.] denotes the greatest integer function).

Evaluate: int_(0)^((5 pi)/(12))[tan x]dx, where [.] denotes the greatest integer function.

int_(0)^(oo)[(3)/(x^(2)+1)]dx, where [.] denotes the greatest integer function,is equal to (A)sqrt(2) (B) sqrt(2)+1(C)(3)/(sqrt(2))(D) infinite

rArrint_(0)^(oo) [(2)/(e^(x))]dx (where [*] denotes the greatest integer function) equals

Evaluate: int_(0)^(2)[x^(2)-x+1]dx, where [.] denotos the greatest integer function.

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(0)^(2)[x^(2)-1]dx , where [x] denotes the greatest integer function, is given by:

int_(0)^(4)x [x] dx= ( where [.] denotes greatest integer function

Evaluate int_(0)^(a)[x^(n)]dx, (where,[*] denotes the greatest integer function).

Evaluate: int_((pi)/(2))^(2 pi)[cot^(-1)]dx, where [.] denotes the greatest integer function