If f(x)=8x then what is the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x=2 and x=6

Step-by-step explanation:

First of all we need to graph f(x)=8x, (First picture)

Now we have to calculate the area enclosed by the graph of the function, the horizontal axis, and vertical lines at and ,

The area that we have to calculate is in pink (second picture).

The function is positive and the domain is then we can calculate the area with this formula:

,

In this case

The result of the integral is,

, but the integral is defined in [2,6] so we have to apply Barrow's rule,

Barrow's rule:

If f is continuous in [a,b] and F is a primitive of f in [a,b], then:

Applying Barrow's rule the result is:

i got 10.28 but that rounds up to 10.3

step-by-step explanation:

for volume, add base x height x width