Area Under the Curve

• 1.5

• 1.1418

• 1.1

• 1.4914

• 35

• 40.625

• 32.1

• 41

• $32,000

• $31,662.50

• 3,166,250 cents

• 3,200,000 cents

Use Geometry to evaluate the definite integral

• 25

• 51

• 50

• 49

A Riemann Sum uses rectangles to

• approximate the area under a curve. The more rectangles, the better the approximation.

• approximate the area under a curve. The less rectangles, the better the approximation.

• approximate the area under a curve. The more rectangles, the worse the approximation.

The value of the definite integral for the shaded region on the function y = x³ - 3x² +2x is:

• 1.4

• 0.5

• 0.56

• 0

• 0.33

Graph of f(x) is shown above. Find ₀∫⁹ f(x) dx.

• 2

• 18

• 0

• 12

Estimate the area bounded by f(x) and the x-axis on [-5,5] using the RRAM with 4 rectangles.

• 81

• 77.5

• 78

• 75

Estimate the area bounded by f(x) and the x-axis on [-5,5] using the trapezoidal method with 4 trapezoids.

• 159

• 152.5

• 79.5

• 76.25

Tags

CCSS.HSA.SSE.A.1

Evaluate in terms of area

∫₀² f(x) dx

• 4

• -4

• 4 + 2π

• -4 - 2π

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GMD.A.1