Answer:
Step-by-step explanation:
For this case we have these two functions:
(1)
(2)
And as we can see we have the figure attached.
For this case we select the x axis in order to calculate the area.
If we solve y from equation (1) and (2) we got:
Now we can solve for the intersection points:
And the solutions are
So then we have in total 3 intersection point
And we can find the area between the two curves separating the total area like this:
We can separate the integrals like this:
For this integral we can use the u substitution with and after apply and solve the integral we got:
The other integral:
And for the other integral:
We can use the same substitution and after replace and solve the integral we got:
So then the final area would be given adding the 3 results as following: