Question

The value of `int_2^7 (sqrtx)/(sqrt(9 - x) + sqrtx)dx` is ______ 

पर्याय

• `1/2`

• `3/2`

• `5/2`

• `7/2`

Answer 1

The value of `int_2^7 (sqrtx)/(sqrt(9 - x) + sqrtx)dx` is `underline(5/2)`.

Explanation:

`int_a^b (f(x))/(f(x) + f(a + b - x))dx = 1/2(b - a)`

∴ `int_2^7 sqrt(x)/(sqrt(9 - x) + sqrtx)dx = 1/2(7 - 2) = 5/2`