Help please

Question

1. Find the area between the x-axis and the curve f(x) = 3x2 from x = 1 to x = 3.

2. Assume a firm's marginal cost in dollars is given by MC below, where x is the number of units produced. You can find the total change in cost (TC) by integrating MC. Give the total change in cost if the firm increases production from 20 to 25 units.

 

3. Find the indefinite integral of x3.  

Answer 1

1)

 

Evaluate            F(3) - F(1)

 

where:

F(x) = ∫(3x²)dx

 

 

2)

 

TC = mC(25) - mC(20)

 

where:

mC(x) = ∫(MC)dx