Question

The fundamental theorem of Calculus

A function f is given piecewise by the formula

a. Determine the exact value of the net signed area enclosed by f and the x-axis on the interval [2, 5].

b. Compute the exact average value of f on [0, 5].

c. find a formula for a function g on 5

Answer 1

I also gave aadded the complete question for the expressions of the function f(x)

a) Exact value of the net signed area = 1/2 or 0.5

b) Exact average value of f = 53/30 = 1.7667

Explanation:

The step by step explanation and calculation is attached below.