Question

Choose the correct alternative : 

`int_4^9 dx/sqrt(x)` =

विकल्प

• 9

• 4

• 2

• 0

Answer 1

Let I = `int_4^9 (1)/sqrt(x)*dx`

= `int_4^9x^(1/2)*dx = [(x^(1/2))/(1/2)]_4^9`

= `2[sqrt(x)]_4^9`

= `2(sqrt(9) - sqrt(4))`

= 2 (3 – 2)
∴ I = 2.