HW Introduction to the Definite Integral

#1

• 1.5

• 1.1418

• 1.1

• 1.4914

What does picture represent? #2

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

The area under a curve is calculated using which mathematical concept? #3

• antiderivative

• indefinite integral

• definite integral

• derivative

• 20

• 40

• 26

• 32

Using 5 subintervals and right endpoints what is the approximation for distance travelled? #5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Approximate the area under y=h(x) from x=-2 to x=4 using a Right-hand sum and three equal subdivisions. #6

• 20 units²

• 26.5 units²

• 28 units²

What is the correct description of the subdivisions in the Riemann sum? #7

• five uniform subdivisions

• five nonuniform subdivisions

• six uniform subdivisions

• six nonuniform subdivisions

Decompose the quadrilateral into 2 triangles and a rectangle, and then sum their areas together. #8

• 40
• 32
• 64
• Not possible

#9

• -1
• -2
• 1/2
• -1/2

• The area from the curve to the x-axis from x = a to x = b

• The rate at which f(x) is changing from x = a to x = b

• The area from the curve to the y-axis from x = a to x = b

• The volume when the curve is rotated about the x-axis from x = a to x = b