Question

Find the area of the region bounded by the graphs of the following equations.y=5x+6,y=0,x=3andx=8.

Answer 1

Given the equations

y=5x+6,

y=0,

x=3and

x=8

we can build the region

the area is given by the defined integral

`\int _3^8\:5x+6`
`(5x^2)/(2)+6x|^8_(3^)`
`(5(8)^2)/(2)+6(8)-(5(3)^2)/(2)-6(3)`
`167.5`

Area= 167.5 units^2