question- calculas

Question

Definite integral of a piecewise linear function.  

  

Use the graph of f(x) shown below to find the following integrals. 

 

(Click on the graph for a larger version.) 

A. ∫−50f(x)dx=  

B. If the vertical red shaded area in the graph has area ,A, estimate: ∫−57f(x)dx=  

(Your estimate may be written in terms of .A.) 

Answer 1

f(x) is the sum of four linear and one quadrative function.

All of them are algebraic.

Determine the areas, integrals, by using geometrci formulas.