The value of `int_(2)^(8) (sqrt(10 -x))/(sqrt(x) + sqrt(10) -x)dx` is

A

10

B

0

C

8

D

3

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

int_(1)^(3)(sqrt(4-x))/(sqrt(x)+sqrt(4-x))dx=

Evaluate int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x)) dx

int_(0)^(a)(sqrtx)/(sqrt(x) + sqrt(a-x))dx .

int_0^(pi//2) (sqrt( cot x))/(sqrt(cot x) - sqrt(tan x)) dx is :

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (a) int_(0)^(a) (sqrt(x))/(sqrt(x) + sqrt(a) - x)dx

The value of int 1/(x+sqrt(x-1)) dx =

The value of the integral, int_3^6 (sqrt(x))/(sqrt(9 - x) + sqrt(x))dx is :

The value of the int(2dx)/(sqrt(1-4x^(2))) is

The value of int_0^(1) (dx)/(x+sqrt(1-x^(2))) dx