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Math / Calculus / Grade 12 / mccdg

Accumulate a Constant Rate - Practice 1

A constant rate over an interval accumulates rate times interval length.

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A constant rate over an interval accumulates rate times interval length. A signed integral may be negative when the rate is negative; it is not always geometric area.

Worked example

The integral of 3 from x = 2 to x = 6 is 3 x (6 - 2) = 12.

The integral of 3 from x = 2 to x = 6 is 3 x (6 - 2) = 12.
Worked model: The integral of 3 from x = 2 to x = 6 is 3 x (6 - 2) = 12.
Question 1 Find the definite integral of the constant -4 from x = 2 to x = 7.
Question 2 Find the definite integral of the constant -3 from x = 2 to x = 7.
Question 3 Find the definite integral of the constant -2 from x = 2 to x = 7.
Question 4 Find the definite integral of the constant -1 from x = 2 to x = 7.
Question 5 Find the definite integral of the constant 0 from x = 2 to x = 7.