Use what we have learned about definite integrals to find

Question

Use what we have learned about definite integrals to find the area of the shaded region below (image from Wolfram Alpha): 

The equation of the parabola is: f (x) = x²-4

The equation of the line is: g (x)= 2x-1      

Hints: To find the area between two curves you must evaluate:

∫_a^b (  top curve - bottom curve )   dx   

where is the -coordinate of the LEFT-MOST intersection point and b is the -coordinate of the RIGHT-MOST intersection point.