Question

State whether the following is True or False :  `int_1^2 sqrt(x)/(sqrt(3 - x) + sqrt(x))*dx = (1)/(2)`

Options

• True

• False

Answer 1

`int_"a"^"b" f(x)/(f(x) + f("a" + "b" - x))*dx`

= `(1)/(2)("b" - "a")`
Here, f(x) = `sqrt(x)`, a = 1, b = 2 True.