AME:
AP CALC AB
Sections 4.2 and 4.6 (day 1) DO OW
Our goal today is to approximate the area enclosed by the function f(x) = x2 and the x-axis
on the interval [0, 2]
Method I:
Left-hand sums
Two Rectangles:
∆x =
Four Rectangles:
∆x =
Eight Rectangles:
∆x =
Method II:
Right-hand sums
Two Rectangles:
∆x =
Four Rectangles:
∆x =
Eight Rectangles:
∆x =
Method III:
Midpoint sums
Two Rectangles:
∆x =
Four Rectangles:
∆x =
Eight Rectangles:
∆x =
Method IV:
Trapezoids
Two Rectangles:
∆x =
Four Rectangles:
∆x =
Eight Rectangles:
∆x =