1. Area Bounded by Curves
sin x
cos x

2. Area Bounded by Curves (Integrating w.r.t. x)
Let f and g be continuous functions. Let R be the region bounded above by y = g(x), below by y = f (x), on the left by x = a and on the right by x = b. Then R has area

3. 

4. Area Bounded by Curves (Integrating w.r.t. y)
Let f and g be continuous functions. Let R be the region bounded on the right by x = g(y), on the left by x = f (y), below by y = c and above by y = d. Then R has area

5.  

11. Problems Where The Graph Isn’t Given
Find the area of the region enclosed by the curves.
x = 2y2
x = 2 – y2
y = x2 – 2x + 1
y = 4 – x2