Riemann Sum Integration and U-Substitution

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• -2
• 1/2
• -1/2

• -4
• 28
• 40
• 20

Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 

• 5(3) + 1(4) + 2(5) + 1(7)
• 5(4) + 1(5) + 2(7) + 1(6)
• 5(3) + 6(4) + 8(5) + 9(7)
• 0(3) + 5(4) + 6(5) + 8(7)

Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

• 28

• 16

• 34

• 21

Use a midpoint Riemann Sum to approximate the area between 0 to 3 with 3 subintervals.

• 14

• 7

• 26

• 11

Which curve solves the differential equation and passes through the point (0,2)?

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Which slope field is represented by dy/dx = 2x

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Which slope field is represented by dy/dx = x²?

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Use Geometry to evaluate the definite integral

• 25

• 51

• 50

• 49

A snail is traveling along a straight path. The snail's velocity can be modeled by v(t)=1.4 ln(1+t²) inches per minute for 0≤t≤15 minutes. (You may use a calculator on this problem)

• 76.043 inches

• 7.589 inches

• 105.123 inches

• 0.185841 inches