What is the net area between f(x)=7x-8f(x)=7x8 in x in[1,2] x[1,2] and the x-axis?

1 Answer
Oct 24, 2016

A = 5/2 A=52

Explanation:

The area is given by:
A = int_1^2 f(x) dx = int_1^2 (7x-8) dxA=21f(x)dx=21(7x8)dx

:. A = [ (7x^2)/2-8x ]_1^2dx

:. A = [ (7x^2)/2-8x ]_1^2dx

:. A = { ( ((7)(4))/2-16 ) - (((7)(1))/2 - 8) }
:. A = { (14-16 ) - (7/2 - 8) }
:. A = -2 - 7/2 + 8
:. A = 6 - 7/2
:. A = 5/2