Area Between Two Curves

Required area =AreaofOAB+Area of ABC
Now, Area of OAB =

%5Cint%5Climits_%7B0%7D%5E%7B1%7D%20f%5Cleft(x%5Cright)dx%2B%5Cint%5Climits_%7B1%7D%5E%7B2%7D%20g%20%5Cleft(x%5Cright)d%20x

%3D%5Cint%5Climits_%7B0%7D%5E%7B1%7D%20x%5E%7B2%7D%20dx%20%2B%5Cint%5Climits_%7B1%7D%5E%7B2%7D%20%5Cleft(-x%2B2%5Cright)d%20x

%3D%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20%7C%20_%7B0%7D%5E%7B1%7D%2B%5Cleft%5B%5Cfrac%7B-x%5E%7B2%7D%7D%7B2%7D%2B2x%5Cright%5D_%7B1%7D%5E%7B2%7D

%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cleft%5B%5Cleft(%5Cfrac%7B-4%7D%7B2%7D%2B4%5Cright)-%5Cleft(%5Cfrac%7B-1%7D%7B2%7D%5Cright)%2B2%5Cright%5D

%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cleft%5B%5Cleft(-2%2B4%5Cright)-%5Cleft(%5Cfrac%7B3%7D%7B2%7D%5Cright)%5Cright%5D

%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B5%7D%7B6%7D%20%5C%2C%20sq%5C%2C%20unit

Chapter Questions
2 MCQs