Area, Integration by Substitution, and Trigonometry (10.3.3)

Question 1

• Area between two curves defined in terms of y: lim(A, B) [f(y)-g(y)]dy.

Answer 1

• Area between two curves defined in terms of y: lim(A, B) [f(y)-g(y)]dy.

Question 2

• When finding the area of a region:

1. Sketch the region.
2. Determine how the rectangles will stack.
3. Find where the curves intersect.
4. Set up the integral.
5. Evaluate.

Answer 2

• When finding the area of a region:

1. Sketch the region.
2. Determine how the rectangles will stack.
3. Find where the curves intersect.
4. Set up the integral.
5. Evaluate.