Answer:
1) 
2) 
Step-by-step explanation:
Assuming that our function is
for the first case and
for the second case.
Part 1
We can rewrite the expression like this:

And we can reorder the terms like this:

Now if we apply integral in both sides we got:

And after do the integrals we got:

Now we can use the initial condition 

And the final solution would be:

Part 2
We can rewrite the expression like this:

And we can reorder the terms like this:

Now if we apply integral in both sides we got:

And after do the integrals we got:

Now we can use the initial condition 

And the final solution would be:

Answer:

Step-by-step explanation:
Area of the shaded region = area of the large rectangular - area of the small rectangle
Area of rectangle is given as l*w
Area of the large rectangle = 
Expand


Area of large rectangle 
Area of small rectangle = 


Area of small rectangle = 
Area of shaded region = 

Collect like terms


A) y=5x+8
See clipped image for explanation
Comment below if you have trouble seeing the image or if you have more questions :)
You need to separate the different figures then add oall of the different areas together
21x squared, just add the numbers together