Question

find the area bounded by the curve 4y=x^3 the x-axis and the line x=8

Answer 1

did you draw a graph of the region first

Answer 2

I graphed it here
https://www.desmos.com/calculator/wgpjlgs9c2

Answer 3

$$
\text{area between curves f(x) and g(x) is} \\
\int_{a}^{b} f(x) - g(x)
$$

Answer 4

the top curve is f(x) = x^3/4
bottom curve g(x) = 0

$$

\Large \int_{0}^{8}(\frac{x^3}{4} - 0) ~dx

$$

Answer 5

thank you :)