Need Help!!!! Integration? please!!!!!!!

Question

Using integration find the area of each of the enclosed regions

how do I solve these??????
1) x-axis and f(x)=2x-x^2


2) f(x)=x^2 and g(x)=x


3) f(x)=x^3-3x and g(x)=x

Answer 1

Sketch the graphs of the 2 functions on the same coordinate system.  By doing so, you will see the functions forming a closed region with left and right boundaries when they intersect.  Then you will find the area under the curve by integrating the function that establishes a curve-like feature.