Question

The area enclosed between the curves y = x^3 and y = √x is in square units ?

A 3/5
B 5/12
C 12/5
D 5/4
E 5/3

Answer 1

I found: `5/12`

Explanation:

Have a look at the diagram and the area described by the two curves:

I used definite integrals to evaluate areas; I took the area (down to the `x` axis) of the upper curve (`sqrt(x)`) and subtracted the area of the lower curve (`x^3`):

Hope it helps!