Common Mistakes to Avoid When Finding Areas (10.2.3)

Question 1

• When evaluating areas of regions, make sure that the curves do not cross within the corresponding open interval. If they do, it is necessary to evaluate the area of each region separately.

Answer 1

• When evaluating areas of regions, make sure that the curves do not cross within the corresponding open interval. If they do, it is necessary to evaluate the area of each region separately.

Question 2

• When finding the area between the x-axis and the curve of a function underneath the axis, multiply the function by –1 to avoid getting a negative area.

Answer 2

• When finding the area between the x-axis and the curve of a function underneath the axis, multiply the function by –1 to avoid getting a negative area.