Home
Class 12
MATHS
The value of integral inta^b (sqrtx dx...

The value of integral
`int_a^b (sqrtx dx)/(sqrtx +_ sqrt(a+b-x))` is :

A

`pi`

B

`1/2(b-a)`

C

`pi//2`

D

b-a

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

int (cossqrtx)/(sqrtx)dx

int sin sqrtx dx

Knowledge Check

  • int_a^b (sqrtx dx)/(sqrtx+sqrt(a+b-c)) is

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

  • The value of the integral int _(a)^(b) (sqrt(x)dx)/(sqrt(x)+sqrt(1+b-x)) is

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

  • The value of the integral int_2^4 (sqrtx^2 - 4)/(x^4) dx is

    A
    `sqrt(3/32)`
    B
    `(sqrt(3))/(32)`
    C
    `(32)/(sqrt3)`
    D
    `- (sqrt3)/(32)`

    • Similar Questions

    Explore conceptually related problems

    Evaluate : int_(0)^(9) (sqrtx)/(sqrtx+sqrt(9-x)) dx

    Evaluate the following : int_(0)^(a)(sqrtx)/(sqrtx+sqrt(a-x))dx

    int _(2) ^(7) (sqrtx)/( sqrtx + sqrt ( 9-x)) dx =

    The value of int_(1//n)^((a n-1)//n) (sqrtx)/(sqrt(a-x) + sqrtx)dx is equal to

    The value of the integral overset(b)underset(a) int (sqrt(x)dx)/(sqrt(x)+sqrt(a+b-x)) is :

    Home
    Profile