Disc and Washer Method, Trapezoidal Rule

1.Sketch the region bounded by the graphs of the functions and find the area of the region. f(x)= 3-2x-x^2, g(x)=x+3?

2. Find the area bounded by the parabola x=8+2y-y^2 the y axis and the lines y=-1 and y=3?

3. Sketch the region bounded by the graphs of the functions and find the area of the region?
f(x)= x^3-2x+1, g(x)= -2x, x=1

4. Sketch the region bounded by the graphs of the functions and find the area of the region f(y)= y(2-y) g(y)=-y?

As you can see, these questions are all based around the same topic. Help with any of them would be amazing!

And here is the trapezoidal question:

5.f(x) is continuous on the closed interval [1, 5] and goes through the following points: Use the trapezoidal rule, with n = 4 to approximate the area under the curve from x = 1 to x = 5.
 
x---------- 1 ------------ 2 ----------- 3 ------------ 4 ------------- 5
f(x) ------ 1.62 --------4.15 ------- 7.50 -------- 9.0 ---------- 12.13