Summation & Area Under the Curve

Calculate the sum.

• 6

• 21

• 9

• 2

Determine the sum.

• 1091

• 1149

• 540

• 1235

Calculate the sum.

• -31

• 31

• -21

• 21

• 1.5

• 1.1418

• 1.1

• 1.4914

• 35

• 40.625

• 32.1

• 41

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.

What is the anti-derivative of y = 3x³?

• 0.75x⁴ + c

• 12x⁴ + c

• 9x² + c

• x² + c

For a function that is strictly decreasing, a right hand Riemann Sum is which of the following:

• overestimate

• underestimate

• exact solution

• not able to be found

For a function that is strictly increasing, a right hand Riemann Sum is which of the following:

• overestimate

• underestimate

• not able to be found

• exact solution

• -6x⁴ + C

• -4x⁶ + C

• -4x⁵ + C

• -24x⁶ + C