Calculate the total area of the region described. Do not count area beneath the x-axis as negative.

Bounded by the curve
y = square root of x

the x-axis, and the lines x = 0 and
x = 16

This is under Integrals, i don't know what i'm doing wrong, please help

1 answer

you are integrating from y=0 to sqrtx and from the lines x=0 to 16

Area=INT (y(x)-y(0))dx from x=0 to 16

= INT sqrt(x)dx
=2/3 * x^3/2 and over the limits

= 2/3 (16^3/2-0)=2/3 (4^3) you finish