Question

Find the area bounded by y =√x and y = 1/2x

(A) 5/3
(B) None of these
(C) 4/3
(D) 10/3
(E) 2/3

Answer 1

Step-by-step explanation:

Consider the equation of the intersection point:
`√(x) =(1)/(2) x` ⇒
`\left \{ {{x=0} \atop {x=4}} \right.`

`S=\int\limits^4_0 |√(x)-(1)/(2)x \, dx`
`= |\int\limits^4_0( {√(x) - (1)/(2)x } \, )dx | = (4)/(3)`

Pick the (C)