Question

sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0).

Answer 1

we have the function

f(x)=x/4

Domain interval [0,8]

using a graphing tool

Evaluate the integral

$\int_0^8\frac{x}{4}dx=8$

Verify

Calculate the area of the right triangle in the above figure

A=(8)(2)/2

A=8 unit2 ----> is ok